Question

How do you differentiate `f(x)= e^x(x^3-1)` using the product rule?

Answer 1

`f'(x)=e^x(x^3+3x^2-1)`

Explanation:

According to the Product Rule:

`f'(x)=(x^3-1)d/dx[e^x]+e^xd/dx[x^3-1]`

`f'(x)=e^x(x^3-1)+3x^2e^x`

`f'(x)=e^x(x^3+3x^2-1)`