Mister Exam
Other calculators
- 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
- Limits Step by Step
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How to use it?
- Derivative of:
-
Derivative of x^2*e^2
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Derivative of x^3+2*x^5
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Derivative of e^(x*(-4))
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Derivative of (3*x-5)^6
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Identical expressions
- asin(two /x)
- arc sinus of e of (2 divide by x)
- arc sinus of e of (two divide by x)
- asin2/x
- asin(2 divide by x)
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Similar expressions
- arcsin(2/x)
Derivative of asin(2/x)
The solution
The first derivative
[src]
-2
----------------
________
2 / 4
x * / 1 - --
/ 2
\/ x
$$- \frac{2}{x^{2} \sqrt{1 - \frac{4}{x^{2}}}}$$
The second derivative
[src]
/ 2 \
4*|1 + -----------|
| 2 / 4 \|
| x *|1 - --||
| | 2||
\ \ x //
-------------------
________
3 / 4
x * / 1 - --
/ 2
\/ x
$$\frac{4 \left(1 + \frac{2}{x^{2} \left(1 - \frac{4}{x^{2}}\right)}\right)}{x^{3} \sqrt{1 - \frac{4}{x^{2}}}}$$
The third derivative
[src]
/ 14 24 \
-4*|3 + ----------- + ------------|
| 2 / 4 \ 2|
| x *|1 - --| 4 / 4 \ |
| | 2| x *|1 - --| |
| \ x / | 2| |
\ \ x / /
-----------------------------------
________
4 / 4
x * / 1 - --
/ 2
\/ x
$$- \frac{4 \left(3 + \frac{14}{x^{2} \left(1 - \frac{4}{x^{2}}\right)} + \frac{24}{x^{4} \left(1 - \frac{4}{x^{2}}\right)^{2}}\right)}{x^{4} \sqrt{1 - \frac{4}{x^{2}}}}$$
The graph