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 y=cos9x
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Derivative of x^3*(x^2-1)^2
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Derivative of log((x+1)/(x-1))
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Derivative of e^x-e^(3*x)
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Identical expressions
- arcctg(sqrt(three *x^(two)- one))
- arcctg( square root of (3 multiply by x to the power of (2) minus 1))
- arcctg( square root of (three multiply by x to the power of (two) minus one))
- arcctg(√(3*x^(2)-1))
- arcctg(sqrt(3*x(2)-1))
- arcctgsqrt3*x2-1
- arcctg(sqrt(3x^(2)-1))
- arcctg(sqrt(3x(2)-1))
- arcctgsqrt3x2-1
- arcctgsqrt3x^2-1
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Similar expressions
- arcctg(sqrt(3*x^(2)+1))
Derivative of arcctg(sqrt(3*x^(2)-1))
The solution
You have entered
[src]
/ __________\
| / 2 |
acot\\/ 3*x - 1 /
$$\operatorname{acot}{\left(\sqrt{3 x^{2} - 1} \right)}$$
acot(sqrt(3*x^2 - 1))
The first derivative
[src]
-1
---------------
__________
/ 2
x*\/ 3*x - 1
$$- \frac{1}{x \sqrt{3 x^{2} - 1}}$$
The second derivative
[src]
1 3 -- + --------- 2 2 x -1 + 3*x -------------- ___________ / 2 \/ -1 + 3*x
$$\frac{\frac{3}{3 x^{2} - 1} + \frac{1}{x^{2}}}{\sqrt{3 x^{2} - 1}}$$
The third derivative
[src]
/2 3 27*x \
-|-- + ------------- + ------------|
| 3 / 2\ 2|
|x x*\-1 + 3*x / / 2\ |
\ \-1 + 3*x / /
-------------------------------------
___________
/ 2
\/ -1 + 3*x
$$- \frac{\frac{27 x}{\left(3 x^{2} - 1\right)^{2}} + \frac{3}{x \left(3 x^{2} - 1\right)} + \frac{2}{x^{3}}}{\sqrt{3 x^{2} - 1}}$$