y=x^(x^2)
lny=x^2lnx
y'/y=2x*lnx+x^2*/x=2x*lnx+x
y'=[2x*lnx+x]*y=[2x*lnx+x]*x^(x^2)=2x^(x^2+1)lnx+x^(x^2+1)