If \(y=x^2e^x\), then \(y'=\)
\(2xe^x\)
\(2x+e^x\)
\(x(x+2e^x)\)
\(xe^x(x+2)\)
Summary
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Approach
Apply the product rule.
$$ y=x^2e^x$$ $$ y'=x^2(e^x)'+e^x(x^2)' $$ $$ = x^2e^x+e^x(2x) $$ $$ = \boxed{xe^x(x+2)}$$