Final Answer
Step-by-step Solution
Specify the solving method
Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x^2$ and $g=e^x$
Learn how to solve problems step by step online.
$\frac{d}{dx}\left(x^2\right)e^x+x^2\frac{d}{dx}\left(e^x\right)$
Learn how to solve problems step by step online. Find the derivative of x^2e^x. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^2 and g=e^x. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Subtract the values 2 and -1. Applying the derivative of the exponential function.