# Find the derivative

• January 28th 2013, 07:29 PM
crazypocket7
Find the derivative
Hi guys, Could someone tell me if this is correct?

Find the derrivative of the function:
$(x^2-1)/(2x-3)$
(This is a fraction but i can't figure out the forum codes)

The answer I get after working this out is:
$-2/(2x-3)$
• January 28th 2013, 08:39 PM
ibdutt
Re: Find the derivative
It is simple just use the quotient rule Attachment 26749
• January 28th 2013, 08:40 PM
VonNemo19
Re: Find the derivative
Look at it likethis:

Product:

$\frac{dy}{dx}\left[(x^2-1)(2x-3)^{-1}\right]$

$=\overbrace{(x^2-1)(-1)(2x-3)^{-2}(2)}^{\text{first times derivative of second}}\underbrace{+}_{\text{plus}}\overbrace{(2x-3)^{-1}(2x)}^{\text{second times drivative of first}}$