Mister Exam
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- Derivative of a implicit defined function
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- Partial derivative of the function
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How to use it?
- Derivative of:
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Derivative of 8^x
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Derivative of 2*sinh(x)*cosh(x)
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Derivative of x^2*asinh(x)*acosh(x)
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Derivative of (x^2-4)/x
- Integral of d{x}:
- atan^2x
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Identical expressions
- atan^2x
- arc tangent of gent of squared x
- atan2x
- atan²x
- atan to the power of 2x
Derivative of atan^2x
The solution
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[src]
2 atan (x)
$$\operatorname{atan}^{2}{\left(x \right)}$$
d / 2 \ --\atan (x)/ dx
$$\frac{d}{d x} \operatorname{atan}^{2}{\left(x \right)}$$
The first derivative
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2*atan(x)
---------
2
1 + x
$$\frac{2 \operatorname{atan}{\left(x \right)}}{x^{2} + 1}$$
The second derivative
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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
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/ 2 \
| 3*x 4*x *atan(x)|
4*|-atan(x) - ------ + ------------|
| 2 2 |
\ 1 + x 1 + x /
------------------------------------
2
/ 2\
\1 + x /
$$\frac{4 \cdot \left(\frac{4 x^{2} \operatorname{atan}{\left(x \right)}}{x^{2} + 1} - \frac{3 x}{x^{2} + 1} - \operatorname{atan}{\left(x \right)}\right)}{\left(x^{2} + 1\right)^{2}}$$
The graph