Differentiate the given function.

Question

f(x)= x^2 over e^3x

Answer 1

f = x^2/e^(3x) = x^2 e^(-3x)
f' = 2x e^(-3x) + x^2 e^(-3x)(-3)
= (2x-3x^2) e^(-3x)
or

(2x-3x^2) / e^(3x)