Mister Exam
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How to use it?
- Derivative of:
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Derivative of 2^(3*x)
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Derivative of -2/x
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Derivative of sin(x)*cos(x)
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Derivative of 1/cos(x)
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Identical expressions
- four √ two +arcctg^2x
- 4√2 plus arcctg squared x
- four √ two plus arcctg squared x
- 4√2+arcctg2x
- 4√2+arcctg²x
- 4√2+arcctg to the power of 2x
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Similar expressions
- 4√2-arcctg^2x
Derivative of 4√2+arcctg^2x
The solution
You have entered
[src]
___ 2 4*\/ 2 + acot (x)
$$\operatorname{acot}^{2}{\left(x \right)} + 4 \sqrt{2}$$
d / ___ 2 \ --\4*\/ 2 + acot (x)/ dx
$$\frac{d}{d x} \left(\operatorname{acot}^{2}{\left(x \right)} + 4 \sqrt{2}\right)$$
The first derivative
[src]
-2*acot(x)
----------
2
1 + x
$$- \frac{2 \operatorname{acot}{\left(x \right)}}{x^{2} + 1}$$
The second derivative
[src]
2*(1 + 2*x*acot(x))
-------------------
2
/ 2\
\1 + x /
$$\frac{2 \cdot \left(2 x \operatorname{acot}{\left(x \right)} + 1\right)}{\left(x^{2} + 1\right)^{2}}$$
The third derivative
[src]
/ 2 \
| 3*x 4*x *acot(x) |
4*|- ------ - ------------ + acot(x)|
| 2 2 |
\ 1 + x 1 + x /
-------------------------------------
2
/ 2\
\1 + x /
$$\frac{4 \left(- \frac{4 x^{2} \operatorname{acot}{\left(x \right)}}{x^{2} + 1} - \frac{3 x}{x^{2} + 1} + \operatorname{acot}{\left(x \right)}\right)}{\left(x^{2} + 1\right)^{2}}$$
The graph