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Math Help - differentiate

  1. #1
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    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
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  2. #2
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    Quote Originally Posted by decoy808 View Post
    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.
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