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 x*e
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Derivative of x/lnx
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Derivative of (x+1)/(x-1)
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Derivative of (x-2)^3
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Identical expressions
- y=arcsinlnx
- y equally arc sinus of lnx
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Similar expressions
- arcsin(ln(x))/ln(arcsin(x))
- -arcsin((lnx)/(sqrt(2)))+c
- xarcsin(ln(x))
- arcsin(lnx^4+arctgx^2)+x^(1+x)
Derivative of y=arcsinlnx
The solution
You have entered
[src]
asin(log(x))
$$\operatorname{asin}{\left(\log{\left(x \right)} \right)}$$
asin(log(x))
The first derivative
[src]
1
------------------
_____________
/ 2
x*\/ 1 - log (x)
$$\frac{1}{x \sqrt{1 - \log{\left(x \right)}^{2}}}$$
The second derivative
[src]
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)
$$\frac{2 - \frac{3 \log{\left(x \right)}}{1 - \log{\left(x \right)}^{2}} + \frac{1}{1 - \log{\left(x \right)}^{2}} + \frac{3 \log{\left(x \right)}^{2}}{\left(1 - \log{\left(x \right)}^{2}\right)^{2}}}{x^{3} \sqrt{1 - \log{\left(x \right)}^{2}}}$$