Don't know the steps in finding this derivative.
But the derivative is
The answer is:
/ 2 \ sin(x) |/sin(x) \ sin(x) 2*cos(x)| x *||------ + cos(x)*log(x)| - ------ - log(x)*sin(x) + --------| |\ x / 2 x | \ x /
/ 3 \ sin(x) |/sin(x) \ 3*sin(x) 3*cos(x) /sin(x) \ /sin(x) 2*cos(x)\ 2*sin(x)| x *||------ + cos(x)*log(x)| - cos(x)*log(x) - -------- - -------- - 3*|------ + cos(x)*log(x)|*|------ + log(x)*sin(x) - --------| + --------| |\ x / x 2 \ x / | 2 x | 3 | \ x \ x / x /