Question

Derivative f(x)=x^3×e^x

Answer 1

Let us find the derivative of function $f(x)=x^3e^x$ using the product rule $(f(x)g(x))'=f'(x)g(x)+f(x)g'(x):$

$f'(x)=3x^2e^x+x^3e^x=x^2(3+x)e^x.$