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:
-
Derivative of y=2x
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Derivative of (1+tan(3*x)^(2))*e^(-x/2)
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Derivative of (-x)/(x^2+1)
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Derivative of x/(x+1)-2ln(x+1)
- Integral of d{x}:
- arcsin(x/3)
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Identical expressions
- arcsin(x/ three)
- arc sinus of (x divide by 3)
- arc sinus of (x divide by three)
- arcsinx/3
- arcsin(x divide by 3)
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Similar expressions
- arcsin((x/3)^(1/2))
Derivative of arcsin(x/3)
The solution
The first derivative
[src]
1
---------------
________
/ 2
/ x
3* / 1 - --
\/ 9
$$\frac{1}{3 \sqrt{1 - \frac{x^{2}}{9}}}$$
The second derivative
[src]
x
--------------
3/2
/ 2\
| x |
27*|1 - --|
\ 9 /
$$\frac{x}{27 \left(1 - \frac{x^{2}}{9}\right)^{\frac{3}{2}}}$$
The third derivative
[src]
2
x
3 + ------
2
x
1 - --
9
--------------
3/2
/ 2\
| x |
81*|1 - --|
\ 9 /
$$\frac{\frac{x^{2}}{1 - \frac{x^{2}}{9}} + 3}{81 \left(1 - \frac{x^{2}}{9}\right)^{\frac{3}{2}}}$$
The graph