Question

How do you calculate the derivative of the function `f(x)=e^x(x^2 + 1)`?

Answer 1

The answer is:

`y'=e^x(x^2+1)+e^x*2x=e^x(x^2+1+2x)=e^x(x+1)^2`

This is because the rule says:

`y=f(x)rArry'=f'(x)*g(x)+f(x)g'(x)`.