The first derivative
[src]
-1
----------------
________
2 / 1
x * / 1 - --
/ 2
\/ x
$$- \frac{1}{x^{2} \sqrt{1 - \frac{1}{x^{2}}}}$$
The second derivative
[src]
1
2 + -----------
2 / 1 \
x *|1 - --|
| 2|
\ x /
----------------
________
3 / 1
x * / 1 - --
/ 2
\/ x
$$\frac{2 + \frac{1}{x^{2} \left(1 - \frac{1}{x^{2}}\right)}}{x^{3} \sqrt{1 - \frac{1}{x^{2}}}}$$
/ 3 7 \
-|6 + ------------ + -----------|
| 2 2 / 1 \|
| 4 / 1 \ x *|1 - --||
| x *|1 - --| | 2||
| | 2| \ x /|
\ \ x / /
----------------------------------
________
4 / 1
x * / 1 - --
/ 2
\/ x
$$- \frac{6 + \frac{7}{x^{2} \left(1 - \frac{1}{x^{2}}\right)} + \frac{3}{x^{4} \left(1 - \frac{1}{x^{2}}\right)^{2}}}{x^{4} \sqrt{1 - \frac{1}{x^{2}}}}$$
The third derivative
[src]
/ 3 7 \
-|6 + ------------ + -----------|
| 2 2 / 1 \|
| 4 / 1 \ x *|1 - --||
| x *|1 - --| | 2||
| | 2| \ x /|
\ \ x / /
----------------------------------
________
4 / 1
x * / 1 - --
/ 2
\/ x
$$- \frac{6 + \frac{7}{x^{2} \left(1 - \frac{1}{x^{2}}\right)} + \frac{3}{x^{4} \left(1 - \frac{1}{x^{2}}\right)^{2}}}{x^{4} \sqrt{1 - \frac{1}{x^{2}}}}$$