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- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
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- Differential equations Step by Step
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How to use it?
- Derivative of:
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Derivative of -(x+1)/(4x+7)
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Derivative of x^5-1/(15x^5)
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Derivative of ctgx/2
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Derivative of y=xarctgx
- Graphing y =:
- xarctgx
- Integral of d{x}:
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xarctgx
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Identical expressions
- y=xarctgx
- y equally xarctgx
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Similar expressions
- x*arctg(x)-ln((1+x^2))^2
- x*arctg(x)
- sin(x)*arctg(x)
Derivative of y=xarctgx
The solution
You have entered
[src]
x*atan(x)
$$x \operatorname{atan}{\left(x \right)}$$
d --(x*atan(x)) dx
$$\frac{d}{d x} x \operatorname{atan}{\left(x \right)}$$
The first derivative
[src]
x
------ + atan(x)
2
1 + x
$$\frac{x}{x^{2} + 1} + \operatorname{atan}{\left(x \right)}$$
The second derivative
[src]
/ 2 \
| x |
2*|1 - ------|
| 2|
\ 1 + x /
--------------
2
1 + x
$$\frac{2 \left(- \frac{x^{2}}{x^{2} + 1} + 1\right)}{x^{2} + 1}$$
The third derivative
[src]
/ 2 \
| 4*x |
2*x*|-4 + ------|
| 2|
\ 1 + x /
-----------------
2
/ 2\
\1 + x /
$$\frac{2 x \left(\frac{4 x^{2}}{x^{2} + 1} - 4\right)}{\left(x^{2} + 1\right)^{2}}$$
The graph