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How to use it?
- Derivative of:
-
Derivative of e^-1
-
Derivative of 2*x^5
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Derivative of f(x)=1
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Derivative of e^x*x^2
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Identical expressions
- (x*sign(x- one))/((x^ two)+ one)
- (x multiply by sign(x minus 1)) divide by ((x squared ) plus 1)
- (x multiply by sign(x minus one)) divide by ((x to the power of two) plus one)
- (x*sign(x-1))/((x2)+1)
- x*signx-1/x2+1
- (x*sign(x-1))/((x²)+1)
- (x*sign(x-1))/((x to the power of 2)+1)
- (xsign(x-1))/((x^2)+1)
- (xsign(x-1))/((x2)+1)
- xsignx-1/x2+1
- xsignx-1/x^2+1
- (x*sign(x-1)) divide by ((x^2)+1)
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Similar expressions
- (x*sign(x-1))/((x^2)-1)
- (x*sign(x+1))/((x^2)+1)
Derivative of (x*sign(x-1))/((x^2)+1)
The solution
You have entered
[src]
x*sign(x - 1)
-------------
2
x + 1
$$\frac{x \operatorname{sign}{\left(x - 1 \right)}}{x^{2} + 1}$$
(x*sign(x - 1))/(x^2 + 1)
The first derivative
[src]
2
2*x*DiracDelta(x - 1) + sign(x - 1) 2*x *sign(x - 1)
----------------------------------- - ----------------
2 2
x + 1 / 2 \
\x + 1/
$$- \frac{2 x^{2} \operatorname{sign}{\left(x - 1 \right)}}{\left(x^{2} + 1\right)^{2}} + \frac{2 x \delta\left(x - 1\right) + \operatorname{sign}{\left(x - 1 \right)}}{x^{2} + 1}$$
The second derivative
[src]
/ / 2 \ \
| | 4*x | |
| x*|-1 + ------|*sign(-1 + x)|
| | 2| |
| 2*x*(2*x*DiracDelta(-1 + x) + sign(-1 + x)) \ 1 + x / |
2*|2*DiracDelta(-1 + x) + x*DiracDelta(-1 + x, 1) - ------------------------------------------- + ----------------------------|
| 2 2 |
\ 1 + x 1 + x /
-------------------------------------------------------------------------------------------------------------------------------
2
1 + x
$$\frac{2 \left(x \delta^{\left( 1 \right)}\left( x - 1 \right) - \frac{2 x \left(2 x \delta\left(x - 1\right) + \operatorname{sign}{\left(x - 1 \right)}\right)}{x^{2} + 1} + \frac{x \left(\frac{4 x^{2}}{x^{2} + 1} - 1\right) \operatorname{sign}{\left(x - 1 \right)}}{x^{2} + 1} + 2 \delta\left(x - 1\right)\right)}{x^{2} + 1}$$
The third derivative
[src]
/ / 2 \ / 2 \ \
| | 4*x | 2 | 2*x | |
| 3*|-1 + ------|*(2*x*DiracDelta(-1 + x) + sign(-1 + x)) 12*x *|-1 + ------|*sign(-1 + x)|
| | 2| | 2| |
| 6*x*(2*DiracDelta(-1 + x) + x*DiracDelta(-1 + x, 1)) \ 1 + x / \ 1 + x / |
2*|3*DiracDelta(-1 + x, 1) + x*DiracDelta(-1 + x, 2) - ---------------------------------------------------- + ------------------------------------------------------- - --------------------------------|
| 2 2 2 |
| 1 + x 1 + x / 2\ |
\ \1 + x / /
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2
1 + x
$$\frac{2 \left(- \frac{12 x^{2} \left(\frac{2 x^{2}}{x^{2} + 1} - 1\right) \operatorname{sign}{\left(x - 1 \right)}}{\left(x^{2} + 1\right)^{2}} + x \delta^{\left( 2 \right)}\left( x - 1 \right) - \frac{6 x \left(x \delta^{\left( 1 \right)}\left( x - 1 \right) + 2 \delta\left(x - 1\right)\right)}{x^{2} + 1} + 3 \delta^{\left( 1 \right)}\left( x - 1 \right) + \frac{3 \left(2 x \delta\left(x - 1\right) + \operatorname{sign}{\left(x - 1 \right)}\right) \left(\frac{4 x^{2}}{x^{2} + 1} - 1\right)}{x^{2} + 1}\right)}{x^{2} + 1}$$
43-я производная
[src]
/ / 2 4 \ / 4 2 6 \ / 6 2 4 8 \ / 8 4 2 10 6 \ / 10 6 2 4 12 8\ / 12 8 4 2 6 14 10\ / 10 14 6 2 4 16 8 12\ / 12 16 8 4 2 6 18 10 14\ / 14 18 10 6 2 4 8 20 12 16\ / 16 12 20 8 4 2 6 22 10 18 14\ / 18 14 22 10 6 2 4 8 24 12 20 16\ / 20 16 24 12 8 4 2 6 10 26 14 22 18\ / 22 18 14 26 10 6 2 4 8 28 12 16 24 20\ / 20 24 16 28 12 8 4 2 6 10 30 14 26 18 22\ / 22 26 18 30 14 10 6 2 4 8 12 32 16 28 20 24\ / 24 28 20 32 16 12 8 4 2 6 10 34 14 18 30 22 26\ / 26 22 30 18 34 14 10 6 2 4 8 12 36 16 32 20 28 24\ / 28 24 32 20 36 16 12 8 4 2 6 10 14 38 18 34 22 30 26\ / 30 26 34 22 38 18 14 10 6 2 4 8 12 40 16 20 36 24 32 28\ / 32 28 24 36 20 40 16 12 8 4 2 6 10 14 42 18 38 22 26 34 30\ / 28 32 24 36 20 40 16 12 8 4 2 6 10 14 42 18 38 22 34 26 30\ / 30 26 34 22 18 38 14 10 6 2 4 8 12 40 16 20 36 24 32 28\ / 28 24 32 20 36 16 12 8 4 2 6 10 38 14 18 34 22 30 26\ / 26 22 30 18 34 14 10 6 2 4 8 12 36 16 32 20 28 24\ / 24 28 20 16 32 12 8 4 2 6 10 34 14 30 18 22 26\ / 22 26 18 30 14 10 6 2 4 8 32 12 16 28 20 24\ / 20 24 16 28 12 8 4 2 6 10 30 14 26 18 22\ / 18 22 14 26 10 6 2 4 8 28 12 24 16 20\ / 20 16 24 12 8 4 2 6 26 10 14 22 18\ / 18 14 22 10 6 2 4 8 24 12 20 16\ / 16 12 20 8 4 2 6 22 10 18 14\ / 14 18 10 6 2 4 20 8 12 16\ / 12 16 8 4 2 6 18 10 14\ / 10 14 6 2 4 16 8 12\ / 12 8 4 2 14 6 10\ / 10 6 2 4 12 8\ / 8 4 2 10 6 \ / 6 2 8 4 \ / 4 2 6 \ / 2 4 \ \
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1195426971648*x 665719930880*x 620777963520*x 102385254400*x 73014444032*x 5112102912*x 63669760*x 124032*x 1938*x 3720960*x 692263936*x 8589934592*x 26777681920*x 283467841536*x 290989670400*x 996189143040*x 1055790202880*x | | 412216197120*x 272461987840*x 172438323200*x 34359738368*x 21422145536*x 722362368*x 4961280*x 3264*x 186048*x 75246080*x 4294967296*x 4686094336*x 70882099200*x 124822487040*x 310388981760*x 398475657216*x | | 4310958080*x 3435134976*x 1417641984*x 503316480*x 127339520*x 2687360*x 8568*x 170*x 201552*x 22573824*x 67108864*x 502081536*x 1702887424*x 2901606400*x 4600627200*x | | 11142168576*x 10905190400*x 2794192896*x 1879048192*x 171991040*x 2036736*x 2240*x 99008*x 23648768*x 268435456*x 833495040*x 5888802816*x 6615662592*x 13264486400*x | | 1061158912*x 862912512*x 218103808*x 158760960*x 6223360*x 34944*x 910*x 622336*x 33554432*x 38697984*x 444530688*x 629145600*x 1160642560*x | | 403701760*x 254017536*x 100663296*x 32587776*x 732160*x 1456*x 48048*x 6223360*x 16777216*x 111132672*x 265289728*x 392232960*x | | 18677760*x 8773632*x 5767168*x 732160*x 8008*x 286*x 102960*x 1048576*x 3168256*x 13762560*x 15876096*x | | 13369344*x 5242880*x 4472832*x 219648*x 880*x 20592*x 1048576*x 1281280*x 9748480*x 11206656*x | | 1146880*x 589824*x 256256*x 6336*x 330*x 54912*x 131072*x 698880*x 1114112*x | | 372736*x 262144*x 50688*x 480*x 7392*x 65536*x 183040*x 430080*x | | 7168*x 7040*x 504*x 42*x 2048*x 2640*x 9984*x | | 12288*x 7680*x 224*x 2016*x 4096*x 14080*x | | 1280*x 448*x 70*x 512*x 1152*x | | 512*x 80*x 256*x 336*x | | 24*x 10*x 16*x | | 16*x 16*x | / 2 \ |
| | 4*x | 2961840*(39*DiracDelta(-1 + x, 37) + x*DiracDelta(-1 + x, 38))*|1 - ------ + ---------| 4389446880*(37*DiracDelta(-1 + x, 35) + x*DiracDelta(-1 + x, 36))*|-1 - --------- + ------ + ---------| 5846743244160*(35*DiracDelta(-1 + x, 33) + x*DiracDelta(-1 + x, 34))*|1 - --------- - ------ + --------- + ---------| 6957624460550400*(33*DiracDelta(-1 + x, 31) + x*DiracDelta(-1 + x, 32))*|-1 - --------- - --------- + ------ + --------- + ---------| 7347251430341222400*(31*DiracDelta(-1 + x, 29) + x*DiracDelta(-1 + x, 30))*|1 - --------- - --------- - ------ + --------- + --------- + ---------| 6832943830217336832000*(29*DiracDelta(-1 + x, 27) + x*DiracDelta(-1 + x, 28))*|-1 - --------- - --------- - --------- + ------ + --------- + --------- + ---------| 5548350390136477507584000*(27*DiracDelta(-1 + x, 25) + x*DiracDelta(-1 + x, 26))*|1 - ---------- - ---------- - --------- - ------ + --------- + --------- + --------- + ----------| 3894941973875807210323968000*(25*DiracDelta(-1 + x, 23) + x*DiracDelta(-1 + x, 24))*|-1 - ----------- - ----------- - --------- - --------- + ------ + --------- + ---------- + ----------- + -----------| 2336965184325484326194380800000*(23*DiracDelta(-1 + x, 21) + x*DiracDelta(-1 + x, 22))*|1 - ------------ - ----------- - ----------- - --------- - ------ + --------- + --------- + ----------- + ----------- + ------------| 1182504383268695069054356684800000*(21*DiracDelta(-1 + x, 19) + x*DiracDelta(-1 + x, 20))*|-1 - ------------ - ------------ - ------------ - ---------- - --------- + ------ + --------- + ----------- + ----------- + ------------ + ------------| 496651840972851929002829807616000000*(19*DiracDelta(-1 + x, 17) + x*DiracDelta(-1 + x, 18))*|1 - ------------- - ------------- - ------------ - ------------ - --------- - ------ + --------- + ---------- + ------------ + ------------ + ------------- + -------------| 169854929612715359718967794204672000000*(17*DiracDelta(-1 + x, 15) + x*DiracDelta(-1 + x, 16))*|-1 - -------------- - -------------- - ------------- - ------------- - ---------- - --------- + ------ + --------- + ------------ + ------------ + ------------- + -------------- + --------------| 46200540854658577843559240023670784000000*(15*DiracDelta(-1 + x, 13) + x*DiracDelta(-1 + x, 14))*|1 - -------------- - -------------- - -------------- - -------------- - ------------ - --------- - ------ + --------- + ----------- + ------------- + ------------- + -------------- + -------------- + ---------------| 9702113579478301347147440404970864640000000*(13*DiracDelta(-1 + x, 11) + x*DiracDelta(-1 + x, 12))*|-1 - --------------- - --------------- - --------------- - -------------- - -------------- - ----------- - --------- + ------ + ---------- + ------------- + -------------- + -------------- + --------------- + --------------- + ---------------| 1513529718398615010155000703175454883840000000*(11*DiracDelta(-1 + x, 9) + x*DiracDelta(-1 + x, 10))*|1 - ---------------- - ---------------- - ---------------- - --------------- - --------------- - ------------- - ---------- - ------ + --------- + ----------- + -------------- + -------------- + --------------- + ---------------- + ---------------- + ----------------| 166488269023847651117050077349300037222400000000*(9*DiracDelta(-1 + x, 7) + x*DiracDelta(-1 + x, 8))*|-1 - ----------------- - ----------------- - ---------------- - ---------------- - ---------------- - -------------- - ----------- - --------- + ------ + ---------- + ------------- + --------------- + --------------- + ---------------- + ---------------- + ----------------- + -----------------| 11987155369717030880427605569149602680012800000000*(7*DiracDelta(-1 + x, 5) + x*DiracDelta(-1 + x, 6))*|1 - ------------------ - ----------------- - ----------------- - ----------------- - ---------------- - --------------- - -------------- - ---------- - ------ + --------- + ----------- + --------------- + --------------- + ---------------- + ----------------- + ----------------- + ----------------- + -----------------| 503460525528115296977959433904283312560537600000000*(5*DiracDelta(-1 + x, 3) + x*DiracDelta(-1 + x, 4))*|-1 - ------------------ - ------------------ - ------------------ - ------------------ - ----------------- - ---------------- - --------------- - ------------ - --------- + ------ + ---------- + -------------- + ---------------- + ---------------- + ----------------- + ------------------ + ------------------ + ------------------ + ------------------| 10069210510562305939559188678085666251210752000000000*(3*DiracDelta(-1 + x, 1) + x*DiracDelta(-1 + x, 2))*|1 - ------------------- - ------------------- - ------------------- - ------------------ - ------------------ - ----------------- - ---------------- - -------------- - ---------- - ------ + --------- + ------------ + --------------- + ----------------- + ----------------- + ------------------ + ------------------ + ------------------- + ------------------- + -------------------| 30207631531686917818677566034256998753632256000000000*(2*x*DiracDelta(-1 + x) + sign(-1 + x))*|-1 - -------------------- - -------------------- - ------------------- - ------------------- - ------------------ - ------------------ - ----------------- - --------------- - ------------ - --------- + ------ + ---------- + -------------- + ---------------- + ----------------- + ------------------ + ------------------- + ------------------- + -------------------- + -------------------- + --------------------| 120830526126747671274710264137027995014529024000000000*x *|-11 - -------------------- - -------------------- - ------------------- - ------------------- - ------------------ - ------------------ - ----------------- - --------------- - ------------ - --------- + ------- + ----------- + -------------- + ---------------- + ----------------- + ------------------ + ------------------- + ------------------- + ------------------- + ------------------- + --------------------|*sign(-1 + x) 60415263063373835637355132068513997507264512000000000*x*(2*DiracDelta(-1 + x) + x*DiracDelta(-1 + x, 1))*|21 - ------------------- - ------------------- - ------------------- - ------------------- - ------------------ - ------------------ - ---------------- - -------------- - ----------- - ------- + --------- + ------------ + --------------- + ----------------- + ----------------- + ------------------ + ------------------ + ------------------- + ------------------- + -------------------| 20138421021124611879118377356171332502421504000000000*x*(4*DiracDelta(-1 + x, 2) + x*DiracDelta(-1 + x, 3))*|-5 - ------------------ - ------------------ - ----------------- - ----------------- - ---------------- - ---------------- - --------------- - ----------- - --------- + ------- + ---------- + -------------- + --------------- + --------------- + ----------------- + ----------------- + ----------------- + ------------------ + ------------------| 167820175176038432325986477968094437520179200000000*x*(6*DiracDelta(-1 + x, 4) + x*DiracDelta(-1 + x, 5))*|19 - ------------------ - ----------------- - ----------------- - ----------------- - ---------------- - ---------------- - -------------- - ----------- - ------- + --------- + ------------ + --------------- + --------------- + ---------------- + ----------------- + ----------------- + ------------------ + ------------------| 5993577684858515440213802784574801340006400000000*x*(8*DiracDelta(-1 + x, 6) + x*DiracDelta(-1 + x, 7))*|-9 - ----------------- - ---------------- - ---------------- - ---------------- - --------------- - -------------- - ----------- - --------- + ------- + ---------- + ------------- + -------------- + --------------- + ---------------- + ---------------- + ---------------- + -----------------| 33297653804769530223410015469860007444480000000*x*(10*DiracDelta(-1 + x, 8) + x*DiracDelta(-1 + x, 9))*|17 - ---------------- - ---------------- - ---------------- - --------------- - --------------- - ------------- - ---------- - ------- + --------- + ----------- + -------------- + -------------- + --------------- + ---------------- + ---------------- + ----------------| 4036079249062973360413335208467879690240000000*x*(12*DiracDelta(-1 + x, 10) + x*DiracDelta(-1 + x, 11))*|-1 - -------------- - -------------- - -------------- - ------------- - ------------- - ---------- - --------- + ------ + --------- + ------------ + ------------ + ------------- + -------------- + -------------- + --------------| 1386016225639757335306777200710123520000000*x*(14*DiracDelta(-1 + x, 12) + x*DiracDelta(-1 + x, 13))*|15 - --------------- - --------------- - -------------- - -------------- - ------------- - ---------- - ------- + --------- + ----------- + ------------- + ------------- + -------------- + -------------- + ---------------| 11550135213664644460889810005917696000000*x*(16*DiracDelta(-1 + x, 14) + x*DiracDelta(-1 + x, 15))*|-7 - -------------- - ------------- - ------------- - ------------- - ---------- - --------- + ------ + --------- + ------------ + ------------ + ------------- + ------------- + --------------| 18872769956968373302107532689408000000*x*(18*DiracDelta(-1 + x, 16) + x*DiracDelta(-1 + x, 17))*|13 - ------------- - ------------- - ------------- - ------------ - --------- - ------- + --------- + ---------- + ------------ + ------------- + ------------- + -------------| 198660736389140771601131923046400000*x*(20*DiracDelta(-1 + x, 18) + x*DiracDelta(-1 + x, 19))*|-3 - ------------ - ----------- - ----------- - --------- - --------- + ------ + --------- + ----------- + ----------- + ------------ + ------------| 107500398478972279004941516800000*x*(22*DiracDelta(-1 + x, 20) + x*DiracDelta(-1 + x, 21))*|11 - ------------ - ----------- - ----------- - --------- - ------ + --------- + ----------- + ---------- + ----------- + ------------| 389494197387580721032396800000*x*(24*DiracDelta(-1 + x, 22) + x*DiracDelta(-1 + x, 23))*|-5 - ----------- - ---------- - --------- - --------- + ------ + --------- + ---------- + ---------- + -----------| 299610921067369785409536000*x*(26*DiracDelta(-1 + x, 24) + x*DiracDelta(-1 + x, 25))*|9 - ---------- - ---------- - --------- - ------ + --------- + --------- + --------- + ----------| 3170485937220844290048000*x*(28*DiracDelta(-1 + x, 26) + x*DiracDelta(-1 + x, 27))*|-1 - --------- - --------- - --------- + ------ + --------- + --------- + ---------| 455529588681155788800*x*(30*DiracDelta(-1 + x, 28) + x*DiracDelta(-1 + x, 29))*|7 - --------- - --------- - ------ + --------- + --------- + ---------| 918406428792652800*x*(32*DiracDelta(-1 + x, 30) + x*DiracDelta(-1 + x, 31))*|-3 - --------- - --------- + ------ + --------- + ---------| 409272027091200*x*(34*DiracDelta(-1 + x, 32) + x*DiracDelta(-1 + x, 33))*|5 - --------- - ------ + --------- + ---------| 1299276276480*x*(36*DiracDelta(-1 + x, 34) + x*DiracDelta(-1 + x, 35))*|-1 - --------- + ------ + ---------| 231023520*x*(38*DiracDelta(-1 + x, 36) + x*DiracDelta(-1 + x, 37))*|3 - ------ + ---------| | 2*x | |
| 1806*|-1 + ------|*(41*DiracDelta(-1 + x, 39) + x*DiracDelta(-1 + x, 40)) | 2 2| | 2 2 3| | 3 2 2 4| | 4 2 2 5 3| | 5 3 2 2 6 4| | 6 4 2 2 3 7 5| | 5 7 3 2 2 8 4 6 | | 6 8 4 2 2 3 9 5 7 | | 7 9 5 3 2 2 4 10 6 8 | | 8 6 10 4 2 2 3 11 5 9 7 | | 9 7 11 5 3 2 2 4 12 6 10 8 | | 10 8 12 6 4 2 2 3 5 13 7 11 9 | | 11 9 7 13 5 3 2 2 4 14 6 8 12 10 | | 10 12 8 14 6 4 2 2 3 5 15 7 13 9 11 | | 11 13 9 15 7 5 3 2 2 4 6 16 8 14 10 12 | | 12 14 10 16 8 6 4 2 2 3 5 17 7 9 15 11 13 | | 13 11 15 9 17 7 5 3 2 2 4 6 18 8 16 10 14 12 | | 14 12 16 10 18 8 6 4 2 2 3 5 7 19 9 17 11 15 13 | | 15 13 17 11 19 9 7 5 3 2 2 4 6 20 8 10 18 12 16 14 | | 16 14 12 18 10 20 8 6 4 2 2 3 5 7 21 9 19 11 13 17 15 | | 14 16 12 18 10 20 8 6 4 2 2 3 5 7 21 9 19 11 17 13 15 | | 15 13 17 11 9 19 7 5 3 2 2 4 6 20 8 10 18 12 16 14 | | 14 12 16 10 18 8 6 4 2 2 3 5 19 7 9 17 11 15 13 | | 13 11 15 9 17 7 5 3 2 2 4 6 18 8 16 10 14 12 | | 12 14 10 8 16 6 4 2 2 3 5 17 7 15 9 11 13 | | 11 13 9 15 7 5 3 2 2 4 16 6 8 14 10 12 | | 10 12 8 14 6 4 2 2 3 5 15 7 13 9 11 | | 9 11 7 13 5 3 2 2 4 14 6 12 8 10 | | 10 8 12 6 4 2 2 3 13 5 7 11 9 | | 9 7 11 5 3 2 2 4 12 6 10 8 | | 8 6 10 4 2 2 3 11 5 9 7 | | 7 9 5 3 2 2 10 4 6 8 | | 6 8 4 2 2 3 9 5 7 | | 5 7 3 2 2 8 4 6 | | 6 4 2 2 7 3 5| | 5 3 2 2 6 4| | 4 2 2 5 3| | 3 2 4 2| | 2 2 3| | 2 2| 296184*x*|-1 + ------|*(40*DiracDelta(-1 + x, 38) + x*DiracDelta(-1 + x, 39))|
| | 2| | 1 + x / 2\ | | / 2\ 1 + x / 2\ | | / 2\ 1 + x / 2\ / 2\ | | / 2\ / 2\ 1 + x / 2\ / 2\ | | / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ / 2\ | | / 2\ / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ | | / 2\ / 2\ 1 + x / 2\ / 2\ / 2\ | | / 2\ / 2\ 1 + x / 2\ / 2\ | | / 2\ 1 + x / 2\ / 2\ | | / 2\ 1 + x / 2\ | | 1 + x / 2\ | | 2| |
| 86*x*(42*DiracDelta(-1 + x, 40) + x*DiracDelta(-1 + x, 41)) \ 1 + x / \ \1 + x / / \ \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / \1 + x / / \ \1 + x / \1 + x / / \ \1 + x / / \ 1 + x / |
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| 2 2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 |
| 1 + x 1 + x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ |
\ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / /
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2
1 + x
$$\frac{2 \left(- \frac{120830526126747671274710264137027995014529024000000000 x^{2} \left(\frac{2199023255552 x^{42}}{\left(x^{2} + 1\right)^{21}} - \frac{23089744183296 x^{40}}{\left(x^{2} + 1\right)^{20}} + \frac{112699941847040 x^{38}}{\left(x^{2} + 1\right)^{19}} - \frac{339474215075840 x^{36}}{\left(x^{2} + 1\right)^{18}} + \frac{706530710126592 x^{34}}{\left(x^{2} + 1\right)^{17}} - \frac{1077912237244416 x^{32}}{\left(x^{2} + 1\right)^{16}} + \frac{1248108906283008 x^{30}}{\left(x^{2} + 1\right)^{15}} - \frac{1120406643671040 x^{28}}{\left(x^{2} + 1\right)^{14}} + \frac{789731071754240 x^{26}}{\left(x^{2} + 1\right)^{13}} - \frac{439993025691648 x^{24}}{\left(x^{2} + 1\right)^{12}} + \frac{194114570158080 x^{22}}{\left(x^{2} + 1\right)^{11}} - \frac{67645986570240 x^{20}}{\left(x^{2} + 1\right)^{10}} + \frac{18496949452800 x^{18}}{\left(x^{2} + 1\right)^{9}} - \frac{3924290764800 x^{16}}{\left(x^{2} + 1\right)^{8}} + \frac{635361361920 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{76681543680 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{6675402240 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{399942400 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{15382400 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{340032 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{3542 x^{2}}{x^{2} + 1} - 11\right) \operatorname{sign}{\left(x - 1 \right)}}{\left(x^{2} + 1\right)^{22}} + x \delta^{\left( 42 \right)}\left( x - 1 \right) - \frac{86 x \left(x \delta^{\left( 41 \right)}\left( x - 1 \right) + 42 \delta^{\left( 40 \right)}\left( x - 1 \right)\right)}{x^{2} + 1} - \frac{296184 x \left(x \delta^{\left( 39 \right)}\left( x - 1 \right) + 40 \delta^{\left( 38 \right)}\left( x - 1 \right)\right) \left(\frac{2 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{2}} - \frac{231023520 x \left(x \delta^{\left( 37 \right)}\left( x - 1 \right) + 38 \delta^{\left( 36 \right)}\left( x - 1 \right)\right) \left(\frac{16 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{16 x^{2}}{x^{2} + 1} + 3\right)}{\left(x^{2} + 1\right)^{3}} - \frac{1299276276480 x \left(x \delta^{\left( 35 \right)}\left( x - 1 \right) + 36 \delta^{\left( 34 \right)}\left( x - 1 \right)\right) \left(\frac{16 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{24 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{10 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{4}} - \frac{409272027091200 x \left(x \delta^{\left( 33 \right)}\left( x - 1 \right) + 34 \delta^{\left( 32 \right)}\left( x - 1 \right)\right) \left(\frac{256 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{512 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{336 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{80 x^{2}}{x^{2} + 1} + 5\right)}{\left(x^{2} + 1\right)^{5}} - \frac{918406428792652800 x \left(x \delta^{\left( 31 \right)}\left( x - 1 \right) + 32 \delta^{\left( 30 \right)}\left( x - 1 \right)\right) \left(\frac{512 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{1280 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{1152 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{448 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{70 x^{2}}{x^{2} + 1} - 3\right)}{\left(x^{2} + 1\right)^{6}} - \frac{455529588681155788800 x \left(x \delta^{\left( 29 \right)}\left( x - 1 \right) + 30 \delta^{\left( 28 \right)}\left( x - 1 \right)\right) \left(\frac{4096 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{12288 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{14080 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{7680 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{2016 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{224 x^{2}}{x^{2} + 1} + 7\right)}{\left(x^{2} + 1\right)^{7}} - \frac{3170485937220844290048000 x \left(x \delta^{\left( 27 \right)}\left( x - 1 \right) + 28 \delta^{\left( 26 \right)}\left( x - 1 \right)\right) \left(\frac{2048 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{7168 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{9984 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{7040 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{2640 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{504 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{42 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{8}} - \frac{299610921067369785409536000 x \left(x \delta^{\left( 25 \right)}\left( x - 1 \right) + 26 \delta^{\left( 24 \right)}\left( x - 1 \right)\right) \left(\frac{65536 x^{16}}{\left(x^{2} + 1\right)^{8}} - \frac{262144 x^{14}}{\left(x^{2} + 1\right)^{7}} + \frac{430080 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{372736 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{183040 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{50688 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{7392 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{480 x^{2}}{x^{2} + 1} + 9\right)}{\left(x^{2} + 1\right)^{9}} - \frac{389494197387580721032396800000 x \left(x \delta^{\left( 23 \right)}\left( x - 1 \right) + 24 \delta^{\left( 22 \right)}\left( x - 1 \right)\right) \left(\frac{131072 x^{18}}{\left(x^{2} + 1\right)^{9}} - \frac{589824 x^{16}}{\left(x^{2} + 1\right)^{8}} + \frac{1114112 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{1146880 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{698880 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{256256 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{54912 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{6336 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{330 x^{2}}{x^{2} + 1} - 5\right)}{\left(x^{2} + 1\right)^{10}} - \frac{107500398478972279004941516800000 x \left(x \delta^{\left( 21 \right)}\left( x - 1 \right) + 22 \delta^{\left( 20 \right)}\left( x - 1 \right)\right) \left(\frac{1048576 x^{20}}{\left(x^{2} + 1\right)^{10}} - \frac{5242880 x^{18}}{\left(x^{2} + 1\right)^{9}} + \frac{11206656 x^{16}}{\left(x^{2} + 1\right)^{8}} - \frac{13369344 x^{14}}{\left(x^{2} + 1\right)^{7}} + \frac{9748480 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{4472832 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{1281280 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{219648 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{20592 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{880 x^{2}}{x^{2} + 1} + 11\right)}{\left(x^{2} + 1\right)^{11}} - \frac{198660736389140771601131923046400000 x \left(x \delta^{\left( 19 \right)}\left( x - 1 \right) + 20 \delta^{\left( 18 \right)}\left( x - 1 \right)\right) \left(\frac{1048576 x^{22}}{\left(x^{2} + 1\right)^{11}} - \frac{5767168 x^{20}}{\left(x^{2} + 1\right)^{10}} + \frac{13762560 x^{18}}{\left(x^{2} + 1\right)^{9}} - \frac{18677760 x^{16}}{\left(x^{2} + 1\right)^{8}} + \frac{15876096 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{8773632 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{3168256 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{732160 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{102960 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{8008 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{286 x^{2}}{x^{2} + 1} - 3\right)}{\left(x^{2} + 1\right)^{12}} - \frac{18872769956968373302107532689408000000 x \left(x \delta^{\left( 17 \right)}\left( x - 1 \right) + 18 \delta^{\left( 16 \right)}\left( x - 1 \right)\right) \left(\frac{16777216 x^{24}}{\left(x^{2} + 1\right)^{12}} - \frac{100663296 x^{22}}{\left(x^{2} + 1\right)^{11}} + \frac{265289728 x^{20}}{\left(x^{2} + 1\right)^{10}} - \frac{403701760 x^{18}}{\left(x^{2} + 1\right)^{9}} + \frac{392232960 x^{16}}{\left(x^{2} + 1\right)^{8}} - \frac{254017536 x^{14}}{\left(x^{2} + 1\right)^{7}} + \frac{111132672 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{32587776 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{6223360 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{732160 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{48048 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{1456 x^{2}}{x^{2} + 1} + 13\right)}{\left(x^{2} + 1\right)^{13}} - \frac{11550135213664644460889810005917696000000 x \left(x \delta^{\left( 15 \right)}\left( x - 1 \right) + 16 \delta^{\left( 14 \right)}\left( x - 1 \right)\right) \left(\frac{33554432 x^{26}}{\left(x^{2} + 1\right)^{13}} - \frac{218103808 x^{24}}{\left(x^{2} + 1\right)^{12}} + \frac{629145600 x^{22}}{\left(x^{2} + 1\right)^{11}} - \frac{1061158912 x^{20}}{\left(x^{2} + 1\right)^{10}} + \frac{1160642560 x^{18}}{\left(x^{2} + 1\right)^{9}} - \frac{862912512 x^{16}}{\left(x^{2} + 1\right)^{8}} + \frac{444530688 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{158760960 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{38697984 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{6223360 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{622336 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{34944 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{910 x^{2}}{x^{2} + 1} - 7\right)}{\left(x^{2} + 1\right)^{14}} - \frac{1386016225639757335306777200710123520000000 x \left(x \delta^{\left( 13 \right)}\left( x - 1 \right) + 14 \delta^{\left( 12 \right)}\left( x - 1 \right)\right) \left(\frac{268435456 x^{28}}{\left(x^{2} + 1\right)^{14}} - \frac{1879048192 x^{26}}{\left(x^{2} + 1\right)^{13}} + \frac{5888802816 x^{24}}{\left(x^{2} + 1\right)^{12}} - \frac{10905190400 x^{22}}{\left(x^{2} + 1\right)^{11}} + \frac{13264486400 x^{20}}{\left(x^{2} + 1\right)^{10}} - \frac{11142168576 x^{18}}{\left(x^{2} + 1\right)^{9}} + \frac{6615662592 x^{16}}{\left(x^{2} + 1\right)^{8}} - \frac{2794192896 x^{14}}{\left(x^{2} + 1\right)^{7}} + \frac{833495040 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{171991040 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{23648768 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{2036736 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{99008 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{2240 x^{2}}{x^{2} + 1} + 15\right)}{\left(x^{2} + 1\right)^{15}} - \frac{4036079249062973360413335208467879690240000000 x \left(x \delta^{\left( 11 \right)}\left( x - 1 \right) + 12 \delta^{\left( 10 \right)}\left( x - 1 \right)\right) \left(\frac{67108864 x^{30}}{\left(x^{2} + 1\right)^{15}} - \frac{503316480 x^{28}}{\left(x^{2} + 1\right)^{14}} + \frac{1702887424 x^{26}}{\left(x^{2} + 1\right)^{13}} - \frac{3435134976 x^{24}}{\left(x^{2} + 1\right)^{12}} + \frac{4600627200 x^{22}}{\left(x^{2} + 1\right)^{11}} - \frac{4310958080 x^{20}}{\left(x^{2} + 1\right)^{10}} + \frac{2901606400 x^{18}}{\left(x^{2} + 1\right)^{9}} - \frac{1417641984 x^{16}}{\left(x^{2} + 1\right)^{8}} + \frac{502081536 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{127339520 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{22573824 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{2687360 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{201552 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{8568 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{170 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{16}} - \frac{33297653804769530223410015469860007444480000000 x \left(x \delta^{\left( 9 \right)}\left( x - 1 \right) + 10 \delta^{\left( 8 \right)}\left( x - 1 \right)\right) \left(\frac{4294967296 x^{32}}{\left(x^{2} + 1\right)^{16}} - \frac{34359738368 x^{30}}{\left(x^{2} + 1\right)^{15}} + \frac{124822487040 x^{28}}{\left(x^{2} + 1\right)^{14}} - \frac{272461987840 x^{26}}{\left(x^{2} + 1\right)^{13}} + \frac{398475657216 x^{24}}{\left(x^{2} + 1\right)^{12}} - \frac{412216197120 x^{22}}{\left(x^{2} + 1\right)^{11}} + \frac{310388981760 x^{20}}{\left(x^{2} + 1\right)^{10}} - \frac{172438323200 x^{18}}{\left(x^{2} + 1\right)^{9}} + \frac{70882099200 x^{16}}{\left(x^{2} + 1\right)^{8}} - \frac{21422145536 x^{14}}{\left(x^{2} + 1\right)^{7}} + \frac{4686094336 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{722362368 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{75246080 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{4961280 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{186048 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{3264 x^{2}}{x^{2} + 1} + 17\right)}{\left(x^{2} + 1\right)^{17}} - \frac{5993577684858515440213802784574801340006400000000 x \left(x \delta^{\left( 7 \right)}\left( x - 1 \right) + 8 \delta^{\left( 6 \right)}\left( x - 1 \right)\right) \left(\frac{8589934592 x^{34}}{\left(x^{2} + 1\right)^{17}} - \frac{73014444032 x^{32}}{\left(x^{2} + 1\right)^{16}} + \frac{283467841536 x^{30}}{\left(x^{2} + 1\right)^{15}} - \frac{665719930880 x^{28}}{\left(x^{2} + 1\right)^{14}} + \frac{1055790202880 x^{26}}{\left(x^{2} + 1\right)^{13}} - \frac{1195426971648 x^{24}}{\left(x^{2} + 1\right)^{12}} + \frac{996189143040 x^{22}}{\left(x^{2} + 1\right)^{11}} - \frac{620777963520 x^{20}}{\left(x^{2} + 1\right)^{10}} + \frac{290989670400 x^{18}}{\left(x^{2} + 1\right)^{9}} - \frac{102385254400 x^{16}}{\left(x^{2} + 1\right)^{8}} + \frac{26777681920 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{5112102912 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{692263936 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{63669760 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{3720960 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{124032 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{1938 x^{2}}{x^{2} + 1} - 9\right)}{\left(x^{2} + 1\right)^{18}} - \frac{167820175176038432325986477968094437520179200000000 x \left(x \delta^{\left( 5 \right)}\left( x - 1 \right) + 6 \delta^{\left( 4 \right)}\left( x - 1 \right)\right) \left(\frac{68719476736 x^{36}}{\left(x^{2} + 1\right)^{18}} - \frac{618475290624 x^{34}}{\left(x^{2} + 1\right)^{17}} + \frac{2555505541120 x^{32}}{\left(x^{2} + 1\right)^{16}} - \frac{6425271074816 x^{30}}{\left(x^{2} + 1\right)^{15}} + \frac{10984378859520 x^{28}}{\left(x^{2} + 1\right)^{14}} - \frac{13514114596864 x^{26}}{\left(x^{2} + 1\right)^{13}} + \frac{12352745373696 x^{24}}{\left(x^{2} + 1\right)^{12}} - \frac{8538764083200 x^{22}}{\left(x^{2} + 1\right)^{11}} + \frac{4500640235520 x^{20}}{\left(x^{2} + 1\right)^{10}} - \frac{1810602393600 x^{18}}{\left(x^{2} + 1\right)^{9}} + \frac{552880373760 x^{16}}{\left(x^{2} + 1\right)^{8}} - \frac{126585405440 x^{14}}{\left(x^{2} + 1\right)^{7}} + \frac{21300428800 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{2556051456 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{209200640 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{10914816 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{325584 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{4560 x^{2}}{x^{2} + 1} + 19\right)}{\left(x^{2} + 1\right)^{19}} - \frac{20138421021124611879118377356171332502421504000000000 x \left(x \delta^{\left( 3 \right)}\left( x - 1 \right) + 4 \delta^{\left( 2 \right)}\left( x - 1 \right)\right) \left(\frac{68719476736 x^{38}}{\left(x^{2} + 1\right)^{19}} - \frac{652835028992 x^{36}}{\left(x^{2} + 1\right)^{18}} + \frac{2860448219136 x^{34}}{\left(x^{2} + 1\right)^{17}} - \frac{7666516623360 x^{32}}{\left(x^{2} + 1\right)^{16}} + \frac{14055280476160 x^{30}}{\left(x^{2} + 1\right)^{15}} - \frac{18673444061184 x^{28}}{\left(x^{2} + 1\right)^{14}} + \frac{18581907570688 x^{26}}{\left(x^{2} + 1\right)^{13}} - \frac{14117423284224 x^{24}}{\left(x^{2} + 1\right)^{12}} + \frac{8271927705600 x^{22}}{\left(x^{2} + 1\right)^{11}} - \frac{3750533529600 x^{20}}{\left(x^{2} + 1\right)^{10}} + \frac{1312686735360 x^{18}}{\left(x^{2} + 1\right)^{9}} - \frac{351832965120 x^{16}}{\left(x^{2} + 1\right)^{8}} + \frac{71204290560 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{10650214400 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{1141094400 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{83680256 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{3922512 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{105336 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{1330 x^{2}}{x^{2} + 1} - 5\right)}{\left(x^{2} + 1\right)^{20}} - \frac{60415263063373835637355132068513997507264512000000000 x \left(x \delta^{\left( 1 \right)}\left( x - 1 \right) + 2 \delta\left(x - 1\right)\right) \left(\frac{1099511627776 x^{40}}{\left(x^{2} + 1\right)^{20}} - \frac{10995116277760 x^{38}}{\left(x^{2} + 1\right)^{19}} + \frac{50921132261376 x^{36}}{\left(x^{2} + 1\right)^{18}} - \frac{144929376436224 x^{34}}{\left(x^{2} + 1\right)^{17}} + \frac{283661115064320 x^{32}}{\left(x^{2} + 1\right)^{16}} - \frac{404792077713408 x^{30}}{\left(x^{2} + 1\right)^{15}} + \frac{435713694760960 x^{28}}{\left(x^{2} + 1\right)^{14}} - \frac{361019918516224 x^{26}}{\left(x^{2} + 1\right)^{13}} + \frac{232937484189696 x^{24}}{\left(x^{2} + 1\right)^{12}} - \frac{117645194035200 x^{22}}{\left(x^{2} + 1\right)^{11}} + \frac{46506615767040 x^{20}}{\left(x^{2} + 1\right)^{10}} - \frac{14320218931200 x^{18}}{\left(x^{2} + 1\right)^{9}} + \frac{3401051996160 x^{16}}{\left(x^{2} + 1\right)^{8}} - \frac{613452349440 x^{14}}{\left(x^{2} + 1\right)^{7}} + \frac{82158796800 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{7911587840 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{523001600 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{22150656 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{538384 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{6160 x^{2}}{x^{2} + 1} + 21\right)}{\left(x^{2} + 1\right)^{21}} + 43 \delta^{\left( 41 \right)}\left( x - 1 \right) + \frac{1806 \left(x \delta^{\left( 40 \right)}\left( x - 1 \right) + 41 \delta^{\left( 39 \right)}\left( x - 1 \right)\right) \left(\frac{4 x^{2}}{x^{2} + 1} - 1\right)}{x^{2} + 1} + \frac{2961840 \left(x \delta^{\left( 38 \right)}\left( x - 1 \right) + 39 \delta^{\left( 37 \right)}\left( x - 1 \right)\right) \left(\frac{16 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{12 x^{2}}{x^{2} + 1} + 1\right)}{\left(x^{2} + 1\right)^{2}} + \frac{4389446880 \left(x \delta^{\left( 36 \right)}\left( x - 1 \right) + 37 \delta^{\left( 35 \right)}\left( x - 1 \right)\right) \left(\frac{64 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{80 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{24 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{3}} + \frac{5846743244160 \left(x \delta^{\left( 34 \right)}\left( x - 1 \right) + 35 \delta^{\left( 33 \right)}\left( x - 1 \right)\right) \left(\frac{256 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{448 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{240 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{40 x^{2}}{x^{2} + 1} + 1\right)}{\left(x^{2} + 1\right)^{4}} + \frac{6957624460550400 \left(x \delta^{\left( 32 \right)}\left( x - 1 \right) + 33 \delta^{\left( 31 \right)}\left( x - 1 \right)\right) \left(\frac{1024 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{2304 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{1792 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{560 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{60 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{5}} + \frac{7347251430341222400 \left(x \delta^{\left( 30 \right)}\left( x - 1 \right) + 31 \delta^{\left( 29 \right)}\left( x - 1 \right)\right) \left(\frac{4096 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{11264 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{11520 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{5376 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{1120 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{84 x^{2}}{x^{2} + 1} + 1\right)}{\left(x^{2} + 1\right)^{6}} + \frac{6832943830217336832000 \left(x \delta^{\left( 28 \right)}\left( x - 1 \right) + 29 \delta^{\left( 27 \right)}\left( x - 1 \right)\right) \left(\frac{16384 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{53248 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{67584 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{42240 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{13440 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{2016 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{112 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{7}} + \frac{5548350390136477507584000 \left(x \delta^{\left( 26 \right)}\left( x - 1 \right) + 27 \delta^{\left( 25 \right)}\left( x - 1 \right)\right) \left(\frac{65536 x^{16}}{\left(x^{2} + 1\right)^{8}} - \frac{245760 x^{14}}{\left(x^{2} + 1\right)^{7}} + \frac{372736 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{292864 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{126720 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{29568 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{3360 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{144 x^{2}}{x^{2} + 1} + 1\right)}{\left(x^{2} + 1\right)^{8}} + \frac{3894941973875807210323968000 \left(x \delta^{\left( 24 \right)}\left( x - 1 \right) + 25 \delta^{\left( 23 \right)}\left( x - 1 \right)\right) \left(\frac{262144 x^{18}}{\left(x^{2} + 1\right)^{9}} - \frac{1114112 x^{16}}{\left(x^{2} + 1\right)^{8}} + \frac{1966080 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{1863680 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{1025024 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{329472 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{59136 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{5280 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{180 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{9}} + \frac{2336965184325484326194380800000 \left(x \delta^{\left( 22 \right)}\left( x - 1 \right) + 23 \delta^{\left( 21 \right)}\left( x - 1 \right)\right) \left(\frac{1048576 x^{20}}{\left(x^{2} + 1\right)^{10}} - \frac{4980736 x^{18}}{\left(x^{2} + 1\right)^{9}} + \frac{10027008 x^{16}}{\left(x^{2} + 1\right)^{8}} - \frac{11141120 x^{14}}{\left(x^{2} + 1\right)^{7}} + \frac{7454720 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{3075072 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{768768 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{109824 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{7920 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{220 x^{2}}{x^{2} + 1} + 1\right)}{\left(x^{2} + 1\right)^{10}} + \frac{1182504383268695069054356684800000 \left(x \delta^{\left( 20 \right)}\left( x - 1 \right) + 21 \delta^{\left( 19 \right)}\left( x - 1 \right)\right) \left(\frac{4194304 x^{22}}{\left(x^{2} + 1\right)^{11}} - \frac{22020096 x^{20}}{\left(x^{2} + 1\right)^{10}} + \frac{49807360 x^{18}}{\left(x^{2} + 1\right)^{9}} - \frac{63504384 x^{16}}{\left(x^{2} + 1\right)^{8}} + \frac{50135040 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{25346048 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{8200192 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{1647360 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{192192 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{11440 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{264 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{11}} + \frac{496651840972851929002829807616000000 \left(x \delta^{\left( 18 \right)}\left( x - 1 \right) + 19 \delta^{\left( 17 \right)}\left( x - 1 \right)\right) \left(\frac{16777216 x^{24}}{\left(x^{2} + 1\right)^{12}} - \frac{96468992 x^{22}}{\left(x^{2} + 1\right)^{11}} + \frac{242221056 x^{20}}{\left(x^{2} + 1\right)^{10}} - \frac{348651520 x^{18}}{\left(x^{2} + 1\right)^{9}} + \frac{317521920 x^{16}}{\left(x^{2} + 1\right)^{8}} - \frac{190513152 x^{14}}{\left(x^{2} + 1\right)^{7}} + \frac{76038144 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{19914752 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{3294720 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{320320 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{16016 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{312 x^{2}}{x^{2} + 1} + 1\right)}{\left(x^{2} + 1\right)^{12}} + \frac{169854929612715359718967794204672000000 \left(x \delta^{\left( 16 \right)}\left( x - 1 \right) + 17 \delta^{\left( 15 \right)}\left( x - 1 \right)\right) \left(\frac{67108864 x^{26}}{\left(x^{2} + 1\right)^{13}} - \frac{419430400 x^{24}}{\left(x^{2} + 1\right)^{12}} + \frac{1157627904 x^{22}}{\left(x^{2} + 1\right)^{11}} - \frac{1857028096 x^{20}}{\left(x^{2} + 1\right)^{10}} + \frac{1917583360 x^{18}}{\left(x^{2} + 1\right)^{9}} - \frac{1333592064 x^{16}}{\left(x^{2} + 1\right)^{8}} + \frac{635043840 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{206389248 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{44808192 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{6223360 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{512512 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{21840 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{364 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{13}} + \frac{46200540854658577843559240023670784000000 \left(x \delta^{\left( 14 \right)}\left( x - 1 \right) + 15 \delta^{\left( 13 \right)}\left( x - 1 \right)\right) \left(\frac{268435456 x^{28}}{\left(x^{2} + 1\right)^{14}} - \frac{1811939328 x^{26}}{\left(x^{2} + 1\right)^{13}} + \frac{5452595200 x^{24}}{\left(x^{2} + 1\right)^{12}} - \frac{9646899200 x^{22}}{\left(x^{2} + 1\right)^{11}} + \frac{11142168576 x^{20}}{\left(x^{2} + 1\right)^{10}} - \frac{8820883456 x^{18}}{\left(x^{2} + 1\right)^{9}} + \frac{4889837568 x^{16}}{\left(x^{2} + 1\right)^{8}} - \frac{1905131520 x^{14}}{\left(x^{2} + 1\right)^{7}} + \frac{515973120 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{94595072 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{11202048 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{792064 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{29120 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{420 x^{2}}{x^{2} + 1} + 1\right)}{\left(x^{2} + 1\right)^{14}} + \frac{9702113579478301347147440404970864640000000 \left(x \delta^{\left( 12 \right)}\left( x - 1 \right) + 13 \delta^{\left( 11 \right)}\left( x - 1 \right)\right) \left(\frac{1073741824 x^{30}}{\left(x^{2} + 1\right)^{15}} - \frac{7784628224 x^{28}}{\left(x^{2} + 1\right)^{14}} + \frac{25367150592 x^{26}}{\left(x^{2} + 1\right)^{13}} - \frac{49073356800 x^{24}}{\left(x^{2} + 1\right)^{12}} + \frac{62704844800 x^{22}}{\left(x^{2} + 1\right)^{11}} - \frac{55710842880 x^{20}}{\left(x^{2} + 1\right)^{10}} + \frac{35283533824 x^{18}}{\left(x^{2} + 1\right)^{9}} - \frac{16066609152 x^{16}}{\left(x^{2} + 1\right)^{8}} + \frac{5239111680 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{1203937280 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{189190144 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{19348992 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{1188096 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{38080 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{480 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{15}} + \frac{1513529718398615010155000703175454883840000000 \left(x \delta^{\left( 10 \right)}\left( x - 1 \right) + 11 \delta^{\left( 9 \right)}\left( x - 1 \right)\right) \left(\frac{4294967296 x^{32}}{\left(x^{2} + 1\right)^{16}} - \frac{33285996544 x^{30}}{\left(x^{2} + 1\right)^{15}} + \frac{116769423360 x^{28}}{\left(x^{2} + 1\right)^{14}} - \frac{245215789056 x^{26}}{\left(x^{2} + 1\right)^{13}} + \frac{343513497600 x^{24}}{\left(x^{2} + 1\right)^{12}} - \frac{338606161920 x^{22}}{\left(x^{2} + 1\right)^{11}} + \frac{241413652480 x^{20}}{\left(x^{2} + 1\right)^{10}} - \frac{126012620800 x^{18}}{\left(x^{2} + 1\right)^{9}} + \frac{48199827456 x^{16}}{\left(x^{2} + 1\right)^{8}} - \frac{13388840960 x^{14}}{\left(x^{2} + 1\right)^{7}} + \frac{2648662016 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{361181184 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{32248320 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{1736448 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{48960 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{544 x^{2}}{x^{2} + 1} + 1\right)}{\left(x^{2} + 1\right)^{16}} + \frac{166488269023847651117050077349300037222400000000 \left(x \delta^{\left( 8 \right)}\left( x - 1 \right) + 9 \delta^{\left( 7 \right)}\left( x - 1 \right)\right) \left(\frac{17179869184 x^{34}}{\left(x^{2} + 1\right)^{17}} - \frac{141733920768 x^{32}}{\left(x^{2} + 1\right)^{16}} + \frac{532575944704 x^{30}}{\left(x^{2} + 1\right)^{15}} - \frac{1206617374720 x^{28}}{\left(x^{2} + 1\right)^{14}} + \frac{1839118417920 x^{26}}{\left(x^{2} + 1\right)^{13}} - \frac{1992378286080 x^{24}}{\left(x^{2} + 1\right)^{12}} + \frac{1580162088960 x^{22}}{\left(x^{2} + 1\right)^{11}} - \frac{931166945280 x^{20}}{\left(x^{2} + 1\right)^{10}} + \frac{409541017600 x^{18}}{\left(x^{2} + 1\right)^{9}} - \frac{133888409600 x^{16}}{\left(x^{2} + 1\right)^{8}} + \frac{32133218304 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{5538111488 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{662165504 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{52093440 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{2480640 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{62016 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{612 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{17}} + \frac{11987155369717030880427605569149602680012800000000 \left(x \delta^{\left( 6 \right)}\left( x - 1 \right) + 7 \delta^{\left( 5 \right)}\left( x - 1 \right)\right) \left(\frac{68719476736 x^{36}}{\left(x^{2} + 1\right)^{18}} - \frac{601295421440 x^{34}}{\left(x^{2} + 1\right)^{17}} + \frac{2409476653056 x^{32}}{\left(x^{2} + 1\right)^{16}} - \frac{5858335391744 x^{30}}{\left(x^{2} + 1\right)^{15}} + \frac{9652938997760 x^{28}}{\left(x^{2} + 1\right)^{14}} - \frac{11402534191104 x^{26}}{\left(x^{2} + 1\right)^{13}} + \frac{9961891430400 x^{24}}{\left(x^{2} + 1\right)^{12}} - \frac{6546385797120 x^{22}}{\left(x^{2} + 1\right)^{11}} + \frac{3259084308480 x^{20}}{\left(x^{2} + 1\right)^{10}} - \frac{1228623052800 x^{18}}{\left(x^{2} + 1\right)^{9}} + \frac{348109864960 x^{16}}{\left(x^{2} + 1\right)^{8}} - \frac{73030041600 x^{14}}{\left(x^{2} + 1\right)^{7}} + \frac{11076222976 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{1171523584 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{81861120 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{3472896 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{77520 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{684 x^{2}}{x^{2} + 1} + 1\right)}{\left(x^{2} + 1\right)^{18}} + \frac{503460525528115296977959433904283312560537600000000 \left(x \delta^{\left( 4 \right)}\left( x - 1 \right) + 5 \delta^{\left( 3 \right)}\left( x - 1 \right)\right) \left(\frac{274877906944 x^{38}}{\left(x^{2} + 1\right)^{19}} - \frac{2542620639232 x^{36}}{\left(x^{2} + 1\right)^{18}} + \frac{10823317585920 x^{34}}{\left(x^{2} + 1\right)^{17}} - \frac{28110560952320 x^{32}}{\left(x^{2} + 1\right)^{16}} + \frac{49795850829824 x^{30}}{\left(x^{2} + 1\right)^{15}} - \frac{63709397385216 x^{28}}{\left(x^{2} + 1\right)^{14}} + \frac{60813515685888 x^{26}}{\left(x^{2} + 1\right)^{13}} - \frac{44116947763200 x^{24}}{\left(x^{2} + 1\right)^{12}} + \frac{24548946739200 x^{22}}{\left(x^{2} + 1\right)^{11}} - \frac{10501493882880 x^{20}}{\left(x^{2} + 1\right)^{10}} + \frac{3440144547840 x^{18}}{\left(x^{2} + 1\right)^{9}} - \frac{854451486720 x^{16}}{\left(x^{2} + 1\right)^{8}} + \frac{158231756800 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{21300428800 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{2008326144 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{125520384 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{4775232 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{95760 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{760 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{19}} + \frac{10069210510562305939559188678085666251210752000000000 \left(x \delta^{\left( 2 \right)}\left( x - 1 \right) + 3 \delta^{\left( 1 \right)}\left( x - 1 \right)\right) \left(\frac{1099511627776 x^{40}}{\left(x^{2} + 1\right)^{20}} - \frac{10720238370816 x^{38}}{\left(x^{2} + 1\right)^{19}} + \frac{48309792145408 x^{36}}{\left(x^{2} + 1\right)^{18}} - \frac{133487583559680 x^{34}}{\left(x^{2} + 1\right)^{17}} + \frac{252995048570880 x^{32}}{\left(x^{2} + 1\right)^{16}} - \frac{348570955808768 x^{30}}{\left(x^{2} + 1\right)^{15}} + \frac{361019918516224 x^{28}}{\left(x^{2} + 1\right)^{14}} - \frac{286692288233472 x^{26}}{\left(x^{2} + 1\right)^{13}} + \frac{176467791052800 x^{24}}{\left(x^{2} + 1\right)^{12}} - \frac{84557483212800 x^{22}}{\left(x^{2} + 1\right)^{11}} + \frac{31504481648640 x^{20}}{\left(x^{2} + 1\right)^{10}} - \frac{9069471989760 x^{18}}{\left(x^{2} + 1\right)^{9}} + \frac{1993720135680 x^{16}}{\left(x^{2} + 1\right)^{8}} - \frac{328635187200 x^{14}}{\left(x^{2} + 1\right)^{7}} + \frac{39557939200 x^{12}}{\left(x^{2} + 1\right)^{6}} - \frac{3347210240 x^{10}}{\left(x^{2} + 1\right)^{5}} + \frac{188280576 x^{8}}{\left(x^{2} + 1\right)^{4}} - \frac{6460608 x^{6}}{\left(x^{2} + 1\right)^{3}} + \frac{117040 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{840 x^{2}}{x^{2} + 1} + 1\right)}{\left(x^{2} + 1\right)^{20}} + \frac{30207631531686917818677566034256998753632256000000000 \left(2 x \delta\left(x - 1\right) + \operatorname{sign}{\left(x - 1 \right)}\right) \left(\frac{4398046511104 x^{42}}{\left(x^{2} + 1\right)^{21}} - \frac{45079976738816 x^{40}}{\left(x^{2} + 1\right)^{20}} + \frac{214404767416320 x^{38}}{\left(x^{2} + 1\right)^{19}} - \frac{628027297890304 x^{36}}{\left(x^{2} + 1\right)^{18}} + \frac{1268132043816960 x^{34}}{\left(x^{2} + 1\right)^{17}} - \frac{1872163359424512 x^{32}}{\left(x^{2} + 1\right)^{16}} + \frac{2091425734852608 x^{30}}{\left(x^{2} + 1\right)^{15}} - \frac{1805099592581120 x^{28}}{\left(x^{2} + 1\right)^{14}} + \frac{1218442224992256 x^{26}}{\left(x^{2} + 1\right)^{13}} - \frac{647048567193600 x^{24}}{\left(x^{2} + 1\right)^{12}} + \frac{270583946280960 x^{22}}{\left(x^{2} + 1\right)^{11}} - \frac{88785357373440 x^{20}}{\left(x^{2} + 1\right)^{10}} + \frac{22673679974400 x^{18}}{\left(x^{2} + 1\right)^{9}} - \frac{4447529533440 x^{16}}{\left(x^{2} + 1\right)^{8}} + \frac{657270374400 x^{14}}{\left(x^{2} + 1\right)^{7}} - \frac{71204290560 x^{12}}{\left(x^{2} + 1\right)^{6}} + \frac{5439216640 x^{10}}{\left(x^{2} + 1\right)^{5}} - \frac{276883200 x^{8}}{\left(x^{2} + 1\right)^{4}} + \frac{8614144 x^{6}}{\left(x^{2} + 1\right)^{3}} - \frac{141680 x^{4}}{\left(x^{2} + 1\right)^{2}} + \frac{924 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{21}}\right)}{x^{2} + 1}$$