Mister Exam
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- Derivative of a implicit defined function
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- Partial derivative of the function
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How to use it?
- Derivative of:
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Derivative of x^2*cos(2*x)
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Derivative of ((x-1)/(x+1))^4
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Derivative of (x-1)/(2*x+3)
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Derivative of sqrt(x)^2-2*x
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Identical expressions
- atan(three *x^ two)
- arc tangent of gent of (3 multiply by x squared )
- arc tangent of gent of (three multiply by x to the power of two)
- atan(3*x2)
- atan3*x2
- atan(3*x²)
- atan(3*x to the power of 2)
- atan(3x^2)
- atan(3x2)
- atan3x2
- atan3x^2
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Similar expressions
- arctan(3*x^2)
Derivative of atan(3*x^2)
The solution
You have entered
[src]
/ 2\ atan\3*x /
$$\operatorname{atan}{\left(3 x^{2} \right)}$$
d / / 2\\ --\atan\3*x // dx
$$\frac{d}{d x} \operatorname{atan}{\left(3 x^{2} \right)}$$
The second derivative
[src]
/ 4 \
| 36*x |
6*|1 - --------|
| 4|
\ 1 + 9*x /
----------------
4
1 + 9*x
$$\frac{6 \left(- \frac{36 x^{4}}{9 x^{4} + 1} + 1\right)}{9 x^{4} + 1}$$
The third derivative
[src]
/ 4 \
3 | 72*x |
216*x *|-5 + --------|
| 4|
\ 1 + 9*x /
----------------------
2
/ 4\
\1 + 9*x /
$$\frac{216 x^{3} \cdot \left(\frac{72 x^{4}}{9 x^{4} + 1} - 5\right)}{\left(9 x^{4} + 1\right)^{2}}$$
The graph