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:
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Derivative of 6^x
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Derivative of (x^2-1)/(x^2+1)
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Derivative of (x+3)/(x-1)
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Derivative of (x-3)^3
- Limit of the function:
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acot(2*x)
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Identical expressions
- acot(two *x)
- arcco tangent of gent of (2 multiply by x)
- arcco tangent of gent of (two multiply by x)
- acot(2x)
- acot2x
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Similar expressions
- 5*sqrt((3*x-4)/(3*x+4))*(acot(2*x+5))
- acot(2*x^2)
- arccot(2*x)
Derivative of acot(2*x)
The solution
You have entered
[src]
acot(2*x)
$$\operatorname{acot}{\left(2 x \right)}$$
d --(acot(2*x)) dx
$$\frac{d}{d x} \operatorname{acot}{\left(2 x \right)}$$
The second derivative
[src]
16*x
-----------
2
/ 2\
\1 + 4*x /
$$\frac{16 x}{\left(4 x^{2} + 1\right)^{2}}$$
The third derivative
[src]
/ 2 \
| 16*x |
16*|1 - --------|
| 2|
\ 1 + 4*x /
-----------------
2
/ 2\
\1 + 4*x /
$$\frac{16 \left(- \frac{16 x^{2}}{4 x^{2} + 1} + 1\right)}{\left(4 x^{2} + 1\right)^{2}}$$
The graph