Differentiate the natural logarithmic function

Question

y=e^sin2x+sin(e^2x)

Answer 1

y = e^sin(2x) + sin(e^2x)

y' = e^sin(2x)(sin(2x))' + cos(e^2x)(e^2x)' = e^sin(2x)(2cos(2x)) + cos(e^2x)(2e^2x)