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:
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Derivative of sqrt(x-1)/(sqrt(x^2-x)-1)
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Derivative of cot(x)/x
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Derivative of cos(x)/e^x
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Derivative of asin(x/2)
- Limit of the function:
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asin(x/2)
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Identical expressions
- asin(x/ two)
- arc sinus of e of (x divide by 2)
- arc sinus of e of (x divide by two)
- asinx/2
- asin(x divide by 2)
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Similar expressions
- asin(x)/((2*x))
- log(1+x)+asin(x)/2
- cos(asin(x)/2)
- arcsin(x/2)
Derivative of asin(x/2)
The solution
The first derivative
[src]
1
---------------
________
/ 2
/ x
2* / 1 - --
\/ 4
$$\frac{1}{2 \sqrt{1 - \frac{x^{2}}{4}}}$$
The second derivative
[src]
x
-------------
3/2
/ 2\
| x |
8*|1 - --|
\ 4 /
$$\frac{x}{8 \left(1 - \frac{x^{2}}{4}\right)^{\frac{3}{2}}}$$
The third derivative
[src]
2
3*x
4 + ------
2
x
1 - --
4
--------------
3/2
/ 2\
| x |
32*|1 - --|
\ 4 /
$$\frac{\frac{3 x^{2}}{1 - \frac{x^{2}}{4}} + 4}{32 \left(1 - \frac{x^{2}}{4}\right)^{\frac{3}{2}}}$$
The graph