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

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

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  1. NO. f= uv

    f'= u v' + v u'

    here, that translates to

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

    check my thinking.

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  2. can that equation be simplified?

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  3. (x+2)x e^x ??? not much simpler

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