differentiate x^2ex^2 W.R TO X

Answer 1

if y = uv, y' = u'v + uv'
if v = e^w, v' = e^w w'
here we have u=x^2, v=e^w, w=x^2

y' = 2x e^x^2 + x^2 (2x) e^x^2
= 2x e^x^2 (x^2 + 1)