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 ln(1-x)
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Derivative of ln(-x)
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Derivative of ln(x+2)
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Derivative of ln(x-1)
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Identical expressions
- asin(log(x))
- arc sinus of e of ( logarithm of (x))
- asinlogx
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Similar expressions
- asin(log(x^3+1))^2*sin(e^((-x^3)/3))
- arcsin(log(x))
Derivative of asin(log(x))
The solution
You have entered
[src]
asin(log(x))
$$\operatorname{asin}{\left(\log{\left(x \right)} \right)}$$
asin(log(x))
The first derivative
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1
------------------
_____________
/ 2
x*\/ 1 - log (x)
$$\frac{1}{x \sqrt{1 - \log{\left(x \right)}^{2}}}$$
The second derivative
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log(x)
-1 + -----------
2
1 - log (x)
-------------------
_____________
2 / 2
x *\/ 1 - log (x)
$$\frac{-1 + \frac{\log{\left(x \right)}}{1 - \log{\left(x \right)}^{2}}}{x^{2} \sqrt{1 - \log{\left(x \right)}^{2}}}$$
The third derivative
[src]
2
1 3*log(x) 3*log (x)
2 + ----------- - ----------- + --------------
2 2 2
1 - log (x) 1 - log (x) / 2 \
\1 - log (x)/
----------------------------------------------
_____________
3 / 2
x *\/ 1 - log (x)
$$\frac{2 - \frac{3 \log{\left(x \right)}}{1 - \log{\left(x \right)}^{2}} + \frac{1}{1 - \log{\left(x \right)}^{2}} + \frac{3 \log{\left(x \right)}^{2}}{\left(1 - \log{\left(x \right)}^{2}\right)^{2}}}{x^{3} \sqrt{1 - \log{\left(x \right)}^{2}}}$$
The graph