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Homework Help: Implicit differentiation

  1. Mar 12, 2013 #1
    1. The problem statement, all variables and given/known data

    Calculate the derivative with respect to x:
    x/y + y/x = 2y

    2. Relevant equations


    3. The attempt at a solution

    I end up getting the right answer, but what I want to know is how to isolate dy/dx to one side after implicitly differentiating. I have tried differentiating the LHS sum by its terms, and also tried getting the common denominator first of the LHS and differentiating that, but I can't isolate dy/dx.

    (I understand that I could isolate y instead and take the derivative, but I wanted to know if there was a way to isolate dy/dx to one side after implicitly differentiating).
  2. jcsd
  3. Mar 12, 2013 #2


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    Staff Emeritus
    Science Advisor
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    Gold Member

    What is your result upon implicitly differentiating?

    It shouldn't be all that difficult to isolate dy/dx .
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