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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:
-
Derivative of e^(2-x)
- Derivative of sqrt4
- Derivative of f(x)=3
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Derivative of ln(x/2)
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Identical expressions
- arctgx+ one / three (arctgx^ three)
- arctgx plus 1 divide by 3(arctgx cubed )
- arctgx plus one divide by three (arctgx to the power of three)
- arctgx+1/3(arctgx3)
- arctgx+1/3arctgx3
- arctgx+1/3(arctgx³)
- arctgx+1/3(arctgx to the power of 3)
- arctgx+1/3arctgx^3
- arctgx+1 divide by 3(arctgx^3)
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Similar expressions
- arctgx-1/3(arctgx^3)
Derivative of arctgx+1/3(arctgx^3)
The solution
You have entered
[src]
3
acot (x)
acot(x) + --------
3
$$\frac{\operatorname{acot}^{3}{\left(x \right)}}{3} + \operatorname{acot}{\left(x \right)}$$
acot(x) + acot(x)^3/3
The first derivative
[src]
2
1 acot (x)
- ------ - --------
2 2
1 + x 1 + x
$$- \frac{\operatorname{acot}^{2}{\left(x \right)}}{x^{2} + 1} - \frac{1}{x^{2} + 1}$$
The second derivative
[src]
/ 2 \
2*\x + x*acot (x) + acot(x)/
----------------------------
2
/ 2\
\1 + x /
$$\frac{2 \left(x \operatorname{acot}^{2}{\left(x \right)} + x + \operatorname{acot}{\left(x \right)}\right)}{\left(x^{2} + 1\right)^{2}}$$
The third derivative
[src]
/ 2 2 2 \
| 2 1 4*x 6*x*acot(x) 4*x *acot (x)|
2*|1 + acot (x) - ------ - ------ - ----------- - -------------|
| 2 2 2 2 |
\ 1 + x 1 + x 1 + x 1 + x /
----------------------------------------------------------------
2
/ 2\
\1 + x /
$$\frac{2 \left(- \frac{4 x^{2} \operatorname{acot}^{2}{\left(x \right)}}{x^{2} + 1} - \frac{4 x^{2}}{x^{2} + 1} - \frac{6 x \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \operatorname{acot}^{2}{\left(x \right)} + 1 - \frac{1}{x^{2} + 1}\right)}{\left(x^{2} + 1\right)^{2}}$$