1. ## differentiate

hi, need help with the prob below. i know i need to use the quotient rule. but im having difficulty deciding what terms to break it up into.

$y=(\frac{x^2+1}{x})^2$

v=?
du/dx=?

u=?
dv/dx=?

many thanks

2. Originally Posted by decoy808
hi, need help with the prob below. i know i need to use the quotient rule. but im having difficulty deciding what terms to break it up into.

$y=(\frac{x^2+1}{x})^2$

v=?
du/dx=?

u=?
dv/dx=?

many thanks
I assume you are finding the derivative of y ... straight-forward use of the chain rule ...

$y= \left(\frac{x^2+1}{x}\right)^2$

$y' = 2\left(\frac{x^2+1}{x}\right) \cdot \left[\frac{(x)(2x) - (x^2+1)(1)}{x^2} \right]$

clean up the algebra.