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. $\displaystyle y=(\frac{x^2+1}{x})^2$ v=? du/dx=? u=? dv/dx=? many thanks
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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. $\displaystyle y=(\frac{x^2+1}{x})^2$ v=? du/dx=? u=? dv/dx=? many thanks I assume you are finding the derivative of y ... straight-forward use of the chain rule ... $\displaystyle y= \left(\frac{x^2+1}{x}\right)^2$ $\displaystyle y' = 2\left(\frac{x^2+1}{x}\right) \cdot \left[\frac{(x)(2x) - (x^2+1)(1)}{x^2} \right]$ clean up the algebra.
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