# Derivatives of Quotients

• Mar 10th 2009, 02:03 PM
millerst
Derivatives of Quotients
Hi, I cannot get this question:

f(x) = sqrt(3x)/(x^2-4), find f'(x) at x=3.

I tried using the quotient rule but it doesn't work.
• Mar 10th 2009, 02:32 PM
skeeter
Quote:

Originally Posted by millerst
Hi, I cannot get this question:

f(x) = sqrt(3x)/(x^2-4), find f'(x) at x=3.

I tried using the quotient rule but it doesn't work.

$f'(x) = \frac{(x^2-4) \cdot \frac{3}{2\sqrt{3x}} - \sqrt{3x} \cdot 2x}{(x^2-4)^2}
$

evaluate $f'(3)$