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^2-x)*(x^3+x)
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Derivative of log
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Derivative of log(e)
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Derivative of sin(2*x)^(2)
- Graphing y =:
- asin(3*x)
- Limit of the function:
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asin(3*x)
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Identical expressions
- asin(three *x)
- arc sinus of e of (3 multiply by x)
- arc sinus of e of (three multiply by x)
- asin(3x)
- asin3x
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Similar expressions
- a*sin^3(x/3)
- cos(3x)^(4)*x*asin(3*x^2)
- -a*sin^3(x/3)
- asin(3^x)
- arcsin(3*x)
Derivative of asin(3*x)
The solution
The first derivative
[src]
3 ------------- __________ / 2 \/ 1 - 9*x
$$\frac{3}{\sqrt{1 - 9 x^{2}}}$$
The second derivative
[src]
27*x
-------------
3/2
/ 2\
\1 - 9*x /
$$\frac{27 x}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}}$$
The third derivative
[src]
/ 2 \
| 27*x |
27*|1 + --------|
| 2|
\ 1 - 9*x /
-----------------
3/2
/ 2\
\1 - 9*x /
$$\frac{27 \left(\frac{27 x^{2}}{1 - 9 x^{2}} + 1\right)}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}}$$
The graph