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How to use it?
- Derivative of:
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Derivative of sin(4x)
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Derivative of y=cos9x
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Derivative of log(x+(1+x^2)^(1/2))
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Derivative of e^sin^2(3x)
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Identical expressions
- y=sqrt(one -x-x^ two)+arcsin(2x+ one)/sqrt(five)
- y equally square root of (1 minus x minus x squared ) plus arc sinus of (2x plus 1) divide by square root of (5)
- y equally square root of (one minus x minus x to the power of two) plus arc sinus of (2x plus one) divide by square root of (five)
- y=√(1-x-x^2)+arcsin(2x+1)/√(5)
- y=sqrt(1-x-x2)+arcsin(2x+1)/sqrt(5)
- y=sqrt1-x-x2+arcsin2x+1/sqrt5
- y=sqrt(1-x-x²)+arcsin(2x+1)/sqrt(5)
- y=sqrt(1-x-x to the power of 2)+arcsin(2x+1)/sqrt(5)
- y=sqrt1-x-x^2+arcsin2x+1/sqrt5
- y=sqrt(1-x-x^2)+arcsin(2x+1) divide by sqrt(5)
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Similar expressions
- y=sqrt(1-x-x^2)+arcsin(2x-1)/sqrt(5)
- y=sqrt(1+x-x^2)+arcsin(2x+1)/sqrt(5)
- y=sqrt(1-x+x^2)+arcsin(2x+1)/sqrt(5)
- y=sqrt(1-x-x^2)-arcsin(2x+1)/sqrt(5)
Derivative of y=sqrt(1-x-x^2)+arcsin(2x+1)/sqrt(5)
The solution
You have entered
[src]
____________
/ 2 asin(2*x + 1)
\/ 1 - x - x + -------------
___
\/ 5
$$\sqrt{- x^{2} + \left(1 - x\right)} + \frac{\operatorname{asin}{\left(2 x + 1 \right)}}{\sqrt{5}}$$
sqrt(1 - x - x^2) + asin(2*x + 1)/sqrt(5)
The first derivative
[src]
___
\/ 5
2*-----
-1/2 - x 5
--------------- + -------------------
____________ ________________
/ 2 / 2
\/ 1 - x - x \/ 1 - (2*x + 1)
$$\frac{- x - \frac{1}{2}}{\sqrt{- x^{2} + \left(1 - x\right)}} + \frac{2 \frac{\sqrt{5}}{5}}{\sqrt{1 - \left(2 x + 1\right)^{2}}}$$
The second derivative
[src]
2 ___
1 (1 + 2*x) 4*\/ 5 *(1 + 2*x)
- --------------- - ----------------- + ---------------------
____________ 3/2 3/2
/ 2 / 2\ / 2\
\/ 1 - x - x 4*\1 - x - x / 5*\1 - (1 + 2*x) /
$$- \frac{\left(2 x + 1\right)^{2}}{4 \left(- x^{2} - x + 1\right)^{\frac{3}{2}}} - \frac{1}{\sqrt{- x^{2} - x + 1}} + \frac{4 \sqrt{5} \left(2 x + 1\right)}{5 \left(1 - \left(2 x + 1\right)^{2}\right)^{\frac{3}{2}}}$$
The third derivative
[src]
3 ___ ___ 2
60*(1 + 2*x) 15*(1 + 2*x) 64*\/ 5 192*\/ 5 *(1 + 2*x)
- --------------- - --------------- + ------------------- + --------------------
3/2 5/2 3/2 5/2
/ 2\ / 2\ / 2\ / 2\
\1 - x - x / \1 - x - x / \1 - (1 + 2*x) / \1 - (1 + 2*x) /
--------------------------------------------------------------------------------
40
$$\frac{- \frac{15 \left(2 x + 1\right)^{3}}{\left(- x^{2} - x + 1\right)^{\frac{5}{2}}} - \frac{60 \left(2 x + 1\right)}{\left(- x^{2} - x + 1\right)^{\frac{3}{2}}} + \frac{64 \sqrt{5}}{\left(1 - \left(2 x + 1\right)^{2}\right)^{\frac{3}{2}}} + \frac{192 \sqrt{5} \left(2 x + 1\right)^{2}}{\left(1 - \left(2 x + 1\right)^{2}\right)^{\frac{5}{2}}}}{40}$$
The graph