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Implicit Differentiation?

  1. Apr 12, 2014 #1
    1. The problem statement, all variables and given/known data

    Find the derivative of:

    x+xy=y^2


    2. Relevant equations


    So I know you have to differentiate it, and it would be:

    1+xyy'=2yy'

    3. The attempt at a solution


    Moving the terms with y' to one side:
    1+xyy'-2yy'=0

    xyy'-2yy'=-1

    Factoring out y'

    y'(xy-2y)=-1

    y'=-1/(xy-2y)

    Did I do that correctly?
     
  2. jcsd
  3. Apr 12, 2014 #2
    The derivative of xy is not xyy' but it is y + xy'
     
  4. Apr 13, 2014 #3
    For the xy part, you should use the product rule, f'g+g'f
     
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