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 c
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Derivative of cos(10*x)
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Derivative of atan(2/x)
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Derivative of asin((x-1)/x)
- Limit of the function:
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atan(2/x)
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Identical expressions
- atan(two /x)
- arc tangent of gent of (2 divide by x)
- arc tangent of gent of (two divide by x)
- atan2/x
- atan(2 divide by x)
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Similar expressions
- atan(2)/(x-3)
- arctan(2/x)
Derivative of atan(2/x)
The solution
The first derivative
[src]
-2 ----------- 2 / 4 \ x *|1 + --| | 2| \ x /
$$- \frac{2}{x^{2} \left(1 + \frac{4}{x^{2}}\right)}$$
The second derivative
[src]
/ 4 \
4*|1 - -----------|
| 2 / 4 \|
| x *|1 + --||
| | 2||
\ \ x //
-------------------
3 / 4 \
x *|1 + --|
| 2|
\ x /
$$\frac{4 \left(1 - \frac{4}{x^{2} \left(1 + \frac{4}{x^{2}}\right)}\right)}{x^{3} \left(1 + \frac{4}{x^{2}}\right)}$$
The third derivative
[src]
/ 64 28 \
4*|-3 - ------------ + -----------|
| 2 2 / 4 \|
| 4 / 4 \ x *|1 + --||
| x *|1 + --| | 2||
| | 2| \ x /|
\ \ x / /
-----------------------------------
4 / 4 \
x *|1 + --|
| 2|
\ x /
$$\frac{4 \left(-3 + \frac{28}{x^{2} \left(1 + \frac{4}{x^{2}}\right)} - \frac{64}{x^{4} \left(1 + \frac{4}{x^{2}}\right)^{2}}\right)}{x^{4} \left(1 + \frac{4}{x^{2}}\right)}$$
The graph