# Math Help - Help finding the critical numbers..

1. ## Help finding the critical numbers..

I need to find the critical numbers for the following function..

f(x) = x^(2) e^(3x)

and the derivative is..

f'(x) = 2xe^(3x) + 3x^(2)e(3x)

2. Originally Posted by Manizzle
I need to find the critical numbers for the following function..

f(x) = x^(2) e^(3x)

and the derivative is..

f'(x) = 2xe^(3x) + 3x^(2)e(3x)
Solve the derivative for zero...remembering that $f(x)\cdot{g(x)}=0\Rightarrow{g(x)=0\vee{f(x)=0}}$ and remember that $e^x\ne{0}\quad\forall{x\in\mathbb{R}}$