Mister Exam
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- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
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- Differential equations Step by Step
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How to use it?
- Derivative of:
-
Derivative of (x+5)/(x+1)
-
Derivative of x*2^x
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Derivative of e^sin(x)*cos(x)
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Derivative of atan(3*x)
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Identical expressions
- arcsin((x+ one)/ two)
- arc sinus of ((x plus 1) divide by 2)
- arc sinus of ((x plus one) divide by two)
- arcsinx+1/2
- arcsin((x+1) divide by 2)
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Similar expressions
- arcsin((x-1)/2)
Derivative of arcsin((x+1)/2)
The solution
You have entered
[src]
/x + 1\
asin|-----|
\ 2 /
$$\operatorname{asin}{\left(\frac{x + 1}{2} \right)}$$
asin((x + 1)/2)
The first derivative
[src]
1
---------------------
______________
/ 2
/ (x + 1)
2* / 1 - --------
\/ 4
$$\frac{1}{2 \sqrt{1 - \frac{\left(x + 1\right)^{2}}{4}}}$$
The second derivative
[src]
1 + x
-------------------
3/2
/ 2\
| (1 + x) |
8*|1 - --------|
\ 4 /
$$\frac{x + 1}{8 \left(1 - \frac{\left(x + 1\right)^{2}}{4}\right)^{\frac{3}{2}}}$$
The third derivative
[src]
2
3*(1 + x)
4 + ------------
2
(1 + x)
1 - --------
4
--------------------
3/2
/ 2\
| (1 + x) |
32*|1 - --------|
\ 4 /
$$\frac{4 + \frac{3 \left(x + 1\right)^{2}}{1 - \frac{\left(x + 1\right)^{2}}{4}}}{32 \left(1 - \frac{\left(x + 1\right)^{2}}{4}\right)^{\frac{3}{2}}}$$