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 log(x)
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Derivative of e^(x^2)
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Derivative of 0
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Derivative of 2*x^2
- Integral of d{x}:
- arcsin2x
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Identical expressions
- y=arcsin2x
- y equally arc sinus of 2x
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Similar expressions
- 3x^2*arcsin(2x-1)
- ((2x-1)((x-x^2)^(1/2)))/4+(arcsin(2x-1))/8
- ln(arcsin(2x-(x^2)))
- arcsin(2x)^2
Derivative of y=arcsin2x
The solution
The first derivative
[src]
2 ------------- __________ / 2 \/ 1 - 4*x
$$\frac{2}{\sqrt{1 - 4 x^{2}}}$$
The second derivative
[src]
8*x
-------------
3/2
/ 2\
\1 - 4*x /
$$\frac{8 x}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}$$
The third derivative
[src]
/ 2 \
| 12*x |
8*|1 + --------|
| 2|
\ 1 - 4*x /
----------------
3/2
/ 2\
\1 - 4*x /
$$\frac{8 \left(\frac{12 x^{2}}{1 - 4 x^{2}} + 1\right)}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}$$
The graph