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 (x+x^2)^x
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Derivative of 6/x^4
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Derivative of 5/x^3
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Derivative of x^(x^2+1)
- Limit of the function:
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asin(8*x)
- Graphing y =:
- asin(8*x)
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Identical expressions
- asin(eight *x)
- arc sinus of e of (8 multiply by x)
- arc sinus of e of (eight multiply by x)
- asin(8x)
- asin8x
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Similar expressions
- asin(8*x-3)/7
- arcsin(8*x)
Derivative of asin(8*x)
The solution
The first derivative
[src]
8 -------------- ___________ / 2 \/ 1 - 64*x
$$\frac{8}{\sqrt{1 - 64 x^{2}}}$$
The second derivative
[src]
512*x
--------------
3/2
/ 2\
\1 - 64*x /
$$\frac{512 x}{\left(1 - 64 x^{2}\right)^{\frac{3}{2}}}$$
The third derivative
[src]
/ 2 \
| 192*x |
512*|1 + ---------|
| 2|
\ 1 - 64*x /
-------------------
3/2
/ 2\
\1 - 64*x /
$$\frac{512 \left(\frac{192 x^{2}}{1 - 64 x^{2}} + 1\right)}{\left(1 - 64 x^{2}\right)^{\frac{3}{2}}}$$
The graph