Differentiate the following function with respect to `x:sin(x^x)`

Explanation

`y=sin(x^x)`

`dy/dx=cosx^x*d/dx(x^x)`

`Z=x^x`

`lnZ=xlnx`

diff. with respect to x

`1/z*(dz)/(dx)=lnx+x*1/x`

`dz/dx=x^x(lnx+1)`

`dy/dx=cosx^x*x^x(lnx+1)`.