The function `f(x) = x^2*e^x`
`f'(x) = (x^2)'*(e^x) + *x^2)*(e^x)'`
= `2x*e^x + x^2*e^x`
= `x*e^x(2 + x)`
The derivative `f'(x) = x*e^x(2 + x)`
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