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How to use it?
- Derivative of:
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Derivative of x*sqrt(x)
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Derivative of x*2
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Derivative of y=8x^4
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Derivative of xex
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Identical expressions
- arctg(x)^ two +arctg^2x
- arctg(x) squared plus arctg squared x
- arctg(x) to the power of two plus arctg squared x
- arctg(x)2+arctg2x
- arctgx2+arctg2x
- arctg(x)²+arctg²x
- arctg(x) to the power of 2+arctg to the power of 2x
- arctgx^2+arctg^2x
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Similar expressions
- arctg(x)^2-arctg^2x
Derivative of arctg(x)^2+arctg^2x
The solution
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[src]
2 2 atan (x) + atan (x)
$$\operatorname{atan}^{2}{\left(x \right)} + \operatorname{atan}^{2}{\left(x \right)}$$
d / 2 2 \ --\atan (x) + atan (x)/ dx
$$\frac{d}{d x} \left(\operatorname{atan}^{2}{\left(x \right)} + \operatorname{atan}^{2}{\left(x \right)}\right)$$
The first derivative
[src]
4*atan(x)
---------
2
1 + x
$$\frac{4 \operatorname{atan}{\left(x \right)}}{x^{2} + 1}$$
The second derivative
[src]
4*(1 - 2*x*atan(x))
-------------------
2
/ 2\
\1 + x /
$$\frac{4 \left(- 2 x \operatorname{atan}{\left(x \right)} + 1\right)}{\left(x^{2} + 1\right)^{2}}$$
The third derivative
[src]
/ 2 \
| 3*x 4*x *atan(x)|
8*|-atan(x) - ------ + ------------|
| 2 2 |
\ 1 + x 1 + x /
------------------------------------
2
/ 2\
\1 + x /
$$\frac{8 \cdot \left(\frac{4 x^{2} \operatorname{atan}{\left(x \right)}}{x^{2} + 1} - \operatorname{atan}{\left(x \right)} - \frac{3 x}{x^{2} + 1}\right)}{\left(x^{2} + 1\right)^{2}}$$
The graph