Mister Exam
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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:
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Derivative of x^2+cos(x)
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Derivative of (x+1)^2*(x-5)-6
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Derivative of log(11*x)
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Derivative of e^x-2
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Identical expressions
- four *arcsin(one /x)
- 4 multiply by arc sinus of (1 divide by x)
- four multiply by arc sinus of (one divide by x)
- 4arcsin(1/x)
- 4arcsin1/x
- 4*arcsin(1 divide by x)
Derivative of 4*arcsin(1/x)
The solution
You have entered
[src]
/1\
4*asin|-|
\x/
$$4 \operatorname{asin}{\left(\frac{1}{x} \right)}$$
4*asin(1/x)
The first derivative
[src]
-4
----------------
________
2 / 1
x * / 1 - --
/ 2
\/ x
$$- \frac{4}{x^{2} \sqrt{1 - \frac{1}{x^{2}}}}$$
The second derivative
[src]
/ 1 \
4*|2 + -----------|
| 2 / 1 \|
| x *|1 - --||
| | 2||
\ \ x //
-------------------
________
3 / 1
x * / 1 - --
/ 2
\/ x
$$\frac{4 \left(2 + \frac{1}{x^{2} \left(1 - \frac{1}{x^{2}}\right)}\right)}{x^{3} \sqrt{1 - \frac{1}{x^{2}}}}$$
The third derivative
[src]
/ 3 7 \
-4*|6 + ------------ + -----------|
| 2 2 / 1 \|
| 4 / 1 \ x *|1 - --||
| x *|1 - --| | 2||
| | 2| \ x /|
\ \ x / /
-----------------------------------
________
4 / 1
x * / 1 - --
/ 2
\/ x
$$- \frac{4 \left(6 + \frac{7}{x^{2} \left(1 - \frac{1}{x^{2}}\right)} + \frac{3}{x^{4} \left(1 - \frac{1}{x^{2}}\right)^{2}}\right)}{x^{4} \sqrt{1 - \frac{1}{x^{2}}}}$$
The graph