Question

f(x)=(x^2)(e^4x)+ln(sin(2x))
Find the derivative

Answer 1

Product rule for (x^2)(e^4x) then product and chain rule for ln(sin(2x))

Answer 2

You can check \[4 e^{4 x} x^2+2 e^{4 x} x+2 \cot (2 x)\]