The first derivative
[src]
1
---------------- + asin(log(x))
_____________
/ 2
\/ 1 - log (x)
$$\operatorname{asin}{\left(\log{\left(x \right)} \right)} + \frac{1}{\sqrt{1 - \log{\left(x \right)}^{2}}}$$
The second derivative
[src]
log(x)
1 - ------------
2
-1 + log (x)
------------------
_____________
/ 2
x*\/ 1 - log (x)
$$\frac{1 - \frac{\log{\left(x \right)}}{\log{\left(x \right)}^{2} - 1}}{x \sqrt{1 - \log{\left(x \right)}^{2}}}$$
The third derivative
[src]
2
1 3*log (x)
-1 - ------------ + ---------------
2 2
-1 + log (x) / 2 \
\-1 + log (x)/
-----------------------------------
_____________
2 / 2
x *\/ 1 - log (x)
$$\frac{-1 - \frac{1}{\log{\left(x \right)}^{2} - 1} + \frac{3 \log{\left(x \right)}^{2}}{\left(\log{\left(x \right)}^{2} - 1\right)^{2}}}{x^{2} \sqrt{1 - \log{\left(x \right)}^{2}}}$$