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How to use it?
- Derivative of:
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Derivative of e^-1
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Derivative of 2*x^5
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Derivative of sin(2*x^2+3)
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Derivative of f(x)=5
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Identical expressions
- ((one +x^ three)*arctg(x))/(seven)
- ((1 plus x cubed ) multiply by arctg(x)) divide by (7)
- ((one plus x to the power of three) multiply by arctg(x)) divide by (seven)
- ((1+x3)*arctg(x))/(7)
- 1+x3*arctgx/7
- ((1+x³)*arctg(x))/(7)
- ((1+x to the power of 3)*arctg(x))/(7)
- ((1+x^3)arctg(x))/(7)
- ((1+x3)arctg(x))/(7)
- 1+x3arctgx/7
- 1+x^3arctgx/7
- ((1+x^3)*arctg(x)) divide by (7)
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Similar expressions
- ((1-x^3)*arctg(x))/(7)
Derivative of ((1+x^3)*arctg(x))/(7)
The solution
You have entered
[src]
/ 3\
\1 + x /*atan(x)
----------------
7
$$\frac{\left(x^{3} + 1\right) \operatorname{atan}{\left(x \right)}}{7}$$
((1 + x^3)*atan(x))/7
The first derivative
[src]
3 2 1 + x 3*x *atan(x) ---------- + ------------ / 2\ 7 7*\1 + x /
$$\frac{3 x^{2} \operatorname{atan}{\left(x \right)}}{7} + \frac{x^{3} + 1}{7 \left(x^{2} + 1\right)}$$
The second derivative
[src]
/ 3 \
| 1 + x 3*x |
2*x*|3*atan(x) - --------- + ------|
| 2 2|
| / 2\ 1 + x |
\ \1 + x / /
------------------------------------
7
$$\frac{2 x \left(\frac{3 x}{x^{2} + 1} + 3 \operatorname{atan}{\left(x \right)} - \frac{x^{3} + 1}{\left(x^{2} + 1\right)^{2}}\right)}{7}$$
The third derivative
[src]
/ / 2 \\
| / 3\ | 4*x ||
| \1 + x /*|-1 + ------||
| 3 | 2||
| 9*x 9*x \ 1 + x /|
2*|3*atan(x) - --------- + ------ + ----------------------|
| 2 2 2 |
| / 2\ 1 + x / 2\ |
\ \1 + x / \1 + x / /
-----------------------------------------------------------
7
$$\frac{2 \left(- \frac{9 x^{3}}{\left(x^{2} + 1\right)^{2}} + \frac{9 x}{x^{2} + 1} + 3 \operatorname{atan}{\left(x \right)} + \frac{\left(x^{3} + 1\right) \left(\frac{4 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{2}}\right)}{7}$$