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^9
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Derivative of x^-1
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Derivative of arctg(x)
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Derivative of 2x
- Integral of d{x}:
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atan(1/x)
- Limit of the function:
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atan(1/x)
- Graphing y =:
- atan(1/x)
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Identical expressions
- atan(one /x)
- arc tangent of gent of (1 divide by x)
- arc tangent of gent of (one divide by x)
- atan1/x
- atan(1 divide by x)
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Similar expressions
- atan(1/(x-1))
- atan(1/(x^2))
- arctan(1/x)
Derivative of atan(1/x)
The solution
The first derivative
[src]
-1 ----------- 2 / 1 \ x *|1 + --| | 2| \ x /
$$- \frac{1}{x^{2} \left(1 + \frac{1}{x^{2}}\right)}$$
The second derivative
[src]
/ 1 \
2*|1 - -----------|
| 2 / 1 \|
| x *|1 + --||
| | 2||
\ \ x //
-------------------
3 / 1 \
x *|1 + --|
| 2|
\ x /
$$\frac{2 \left(1 - \frac{1}{x^{2} \left(1 + \frac{1}{x^{2}}\right)}\right)}{x^{3} \left(1 + \frac{1}{x^{2}}\right)}$$
The third derivative
[src]
/ 4 7 \
2*|-3 - ------------ + -----------|
| 2 2 / 1 \|
| 4 / 1 \ x *|1 + --||
| x *|1 + --| | 2||
| | 2| \ x /|
\ \ x / /
-----------------------------------
4 / 1 \
x *|1 + --|
| 2|
\ x /
$$\frac{2 \left(-3 + \frac{7}{x^{2} \left(1 + \frac{1}{x^{2}}\right)} - \frac{4}{x^{4} \left(1 + \frac{1}{x^{2}}\right)^{2}}\right)}{x^{4} \left(1 + \frac{1}{x^{2}}\right)}$$
The graph