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
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How to use it?
- Derivative of:
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Derivative of x^-(4/5)
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Derivative of e^((x^2)-x)
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Derivative of cosx-3x
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Derivative of acot(x)^2
- Limit of the function:
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acot(x)^2
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Identical expressions
- acot(x)^ two
- arcco tangent of gent of (x) squared
- arcco tangent of gent of (x) to the power of two
- acot(x)2
- acotx2
- acot(x)²
- acot(x) to the power of 2
- acotx^2
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Similar expressions
- acot(x^2)
- arccot(x)^2
- arccotx^2
Derivative of acot(x)^2
The solution
The first derivative
[src]
-2*acot(x)
----------
2
1 + x
$$- \frac{2 \operatorname{acot}{\left(x \right)}}{x^{2} + 1}$$
The second derivative
[src]
2*(1 + 2*x*acot(x))
-------------------
2
/ 2\
\1 + x /
$$\frac{2 \left(2 x \operatorname{acot}{\left(x \right)} + 1\right)}{\left(x^{2} + 1\right)^{2}}$$
The third derivative
[src]
/ 2 \
| 3*x 4*x *acot(x) |
4*|- ------ - ------------ + acot(x)|
| 2 2 |
\ 1 + x 1 + x /
-------------------------------------
2
/ 2\
\1 + x /
$$\frac{4 \left(- \frac{4 x^{2} \operatorname{acot}{\left(x \right)}}{x^{2} + 1} - \frac{3 x}{x^{2} + 1} + \operatorname{acot}{\left(x \right)}\right)}{\left(x^{2} + 1\right)^{2}}$$
The graph