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*asin(x)
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Derivative of x^2*sqrt(x)
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Derivative of sin(t/3)^3
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Derivative of 100-x^2
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Identical expressions
- (arctg^ two (x))
- (arctg squared (x))
- (arctg to the power of two (x))
- (arctg2(x))
- arctg2x
- (arctg²(x))
- (arctg to the power of 2(x))
- arctg^2x
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Similar expressions
- y=ln(1+arctg^2x)
- y=x^5arctg^2x
- y=(4x^5-5x-3)^2*arctg^2x
- arctg^2(x)*cos^2(2x)
- y=log(x+1)*arctg^2(x^3)
Derivative of (arctg^2(x))
The solution
The first derivative
[src]
2*atan(x)
---------
2
1 + x
$$\frac{2 \operatorname{atan}{\left(x \right)}}{x^{2} + 1}$$
The second derivative
[src]
2*(1 - 2*x*atan(x))
-------------------
2
/ 2\
\1 + x /
$$\frac{2 \left(- 2 x \operatorname{atan}{\left(x \right)} + 1\right)}{\left(x^{2} + 1\right)^{2}}$$
The third derivative
[src]
/ 2 \
| 3*x 4*x *atan(x)|
4*|-atan(x) - ------ + ------------|
| 2 2 |
\ 1 + x 1 + x /
------------------------------------
2
/ 2\
\1 + x /
$$\frac{4 \left(\frac{4 x^{2} \operatorname{atan}{\left(x \right)}}{x^{2} + 1} - \frac{3 x}{x^{2} + 1} - \operatorname{atan}{\left(x \right)}\right)}{\left(x^{2} + 1\right)^{2}}$$