Solution
= Solution
The <product rule> and the <derivative> of the <exponential function> give
$$
\boxed{\frac{d}{dx}(x^2e^x)=2xe^x+x^2e^x=e^x(x^2+2x).}
$$
= Solution
The <product rule> and the <derivative> of the <exponential function> give
$$
\boxed{\frac{d}{dx}(x^2e^x)=2xe^x+x^2e^x=e^x(x^2+2x).}
$$