Question: what is the derivative of f(x)=x^2*e^x

Would the answer simply be 2x+e^x?

3 answers

NO. f= uv

f'= u v' + v u'

here, that translates to

f'= 2xe^x+ x^2e^x

check my thinking.
can that equation be simplified?
(x+2)x e^x ??? not much simpler
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