Mister Exam
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- 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 x^12
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Derivative of -e^x
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Derivative of e^(2-x)
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Derivative of x^2-4*x
- Graphing y =:
- xarctgx
- Integral of d{x}:
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xarctgx
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Identical expressions
- xarctgx
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Similar expressions
- 5*sin*(x)*arctg*(x)
- x*arctg(x)ctg(x)*cos(x)
- x^tgx*arctgx^2
- y=x^e^x*arctg(x)
Derivative of xarctgx
The solution
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