Posted by Joel on September 26, 2002 at 17:45:05:
In Reply to: How do i find the derivitave? posted by a.kapoor on September 26, 2002 at 17:13:08:
: I cant seem to find the correct derivitave of this question [(x+2)/(x-2)]^2 do i use the quotient rule or the chain rule? do i use both? if so which one do i use first? Thanks for the help.
You'll be using the chain rule, and in order to do so, you will use the quotient rule. Let u = (x+2)/(x-2).
So,
d/dx [(x+2)/(x-2)]^2 = d/dx u^2 = 2u * du/dx.
Now use the quotient rule to find du/dx = d/dx [(x+2)/(x-2)] & substitute to get the final result.