# Help finding the critical numbers..

• Nov 3rd 2008, 11:53 AM
Manizzle
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)
• Nov 3rd 2008, 01:57 PM
Mathstud28
Quote:

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 $e^x\ne{0}\quad\forall{x\in\mathbb{R}}$