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Implicit differentiation: two answers resulted

  1. Mar 6, 2010 #1
    Could anyone explain that I got two different answers for this question: find [tex]dy/dx[/tex] of [tex]\frac{x}{x+y}-\frac{y}{x}=4[/tex].

    1. using quotient rule:

    2. simplify using common denominator before taking derivative:
    Last edited: Mar 6, 2010
  2. jcsd
  3. Mar 6, 2010 #2


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    The second line does not follow from the first.
  4. Mar 6, 2010 #3
    Sorry, it's suppose to be "5xy"
  5. Mar 6, 2010 #4
    and it's suppose to be -y^2. Now I corrected it.
  6. Mar 7, 2010 #5
    Help, anyone? i still don't get why.
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