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- Derivative of a implicit defined function
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- Partial derivative of the function
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- Integral Step by Step
- Differential equations Step by Step
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How to use it?
- Derivative of:
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Derivative of -2x/(1+x^2)^2
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Derivative of (x^2+49)/x
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Derivative of 2*x-x^2
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Derivative of x*e^x-e^x
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Identical expressions
- y=arccot(one /x²)
- y equally arc cotangent of (1 divide by x²)
- y equally arc cotangent of (one divide by x²)
- y=arccot1/x²
- y=arccot(1 divide by x²)
Derivative of y=arccot(1/x²)
The solution
You have entered
[src]
/1 \
acot|--|
| 2|
\x /
$$\operatorname{acot}{\left(\frac{1}{x^{2}} \right)}$$
acot(1/(x^2))
The first derivative
[src]
2 ----------- 3 / 1 \ x *|1 + --| | 4| \ x /
$$\frac{2}{x^{3} \left(1 + \frac{1}{x^{4}}\right)}$$
The second derivative
[src]
/ 4 \
2*|-3 + -----------|
| 4 / 1 \|
| x *|1 + --||
| | 4||
\ \ x //
--------------------
4 / 1 \
x *|1 + --|
| 4|
\ x /
$$\frac{2 \left(-3 + \frac{4}{x^{4} \left(1 + \frac{1}{x^{4}}\right)}\right)}{x^{4} \left(1 + \frac{1}{x^{4}}\right)}$$
The third derivative
[src]
/ 11 8 \
8*|3 - ----------- + ------------|
| 4 / 1 \ 2|
| x *|1 + --| 8 / 1 \ |
| | 4| x *|1 + --| |
| \ x / | 4| |
\ \ x / /
----------------------------------
5 / 1 \
x *|1 + --|
| 4|
\ x /
$$\frac{8 \left(3 - \frac{11}{x^{4} \left(1 + \frac{1}{x^{4}}\right)} + \frac{8}{x^{8} \left(1 + \frac{1}{x^{4}}\right)^{2}}\right)}{x^{5} \left(1 + \frac{1}{x^{4}}\right)}$$