Mister Exam
Other calculators
- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
- Curve tracing functions Step by Step
- Integral Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Derivative of:
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Derivative of 7x
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Derivative of 1/3*x^3
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Derivative of x*lnx
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Derivative of x*ctgx
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Identical expressions
- arcsin(2x- one)
- arc sinus of (2x minus 1)
- arc sinus of (2x minus one)
- arcsin2x-1
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Similar expressions
- y=x*arcsin(2*x-1/5)
- y=x*arcsin2x-1/5
- ((2*x-1)/4)*sqrt(2+x-(x)^2)+((9*arcsin((2*x-1)/3)/8))
- arcsin(2x-1/sqrt(2))
- arcsin(2x+1)
- (2*x-1)/4*sqrt(2+x-x^2)+9/8arcsin((2*x-1)/3)
Derivative of arcsin(2x-1)
The solution
The first derivative
[src]
2 ------------------- ________________ / 2 \/ 1 - (2*x - 1)
$$\frac{2}{\sqrt{1 - \left(2 x - 1\right)^{2}}}$$
The second derivative
[src]
4*(-1 + 2*x)
--------------------
3/2
/ 2\
\1 - (-1 + 2*x) /
$$\frac{4 \left(2 x - 1\right)}{\left(1 - \left(2 x - 1\right)^{2}\right)^{\frac{3}{2}}}$$
The third derivative
[src]
/ 2 \
| 3*(-1 + 2*x) |
8*|1 + ---------------|
| 2|
\ 1 - (-1 + 2*x) /
-----------------------
3/2
/ 2\
\1 - (-1 + 2*x) /
$$\frac{8 \left(1 + \frac{3 \left(2 x - 1\right)^{2}}{1 - \left(2 x - 1\right)^{2}}\right)}{\left(1 - \left(2 x - 1\right)^{2}\right)^{\frac{3}{2}}}$$
The graph