(x^ln(2x-1))' (sin(ln(2x-e^2x))'

(x^ln(2x-1))' =ln(2x-1)*x^ln[(2x-1)-1]*(ln(2x-1))'=ln(2x-1)*x^ln[(2x-1)-1]*(2/2x-1)(sin(ln(2x-e^2x))'=cos(ln(2x-e^2x))*(ln(2x-e^2x))'=cos(ln(2x-e^2x))*[((2x-e^2x)')/2x-e^2x]=cos(ln(2x-e^2x))*(2-2e^2x)...