x ___ \/ x
d /x ___\ --\\/ x / dx
Don't know the steps in finding this derivative.
But the derivative is
Now simplify:
The answer is:
x ___ /1 log(x)\ \/ x *|-- - ------| | 2 2 | \x x /
/ 2\ x ___ | (-1 + log(x)) | \/ x *|-3 + 2*log(x) + --------------| \ x / -------------------------------------- 3 x
/ 3 \ x ___ | (-1 + log(x)) 3*(-1 + log(x))*(-3 + 2*log(x))| -\/ x *|-11 + 6*log(x) + -------------- + -------------------------------| | 2 x | \ x / --------------------------------------------------------------------------- 4 x