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Instantaneous Rate of Change Problem

  1. Nov 18, 2012 #1
    1. The problem statement, all variables and given/known data
    Find the instantaneous rate of change for the function y2+(xy+1)3=0 at (2,-1)


    2. Relevant equations
    N/A


    3. The attempt at a solution
    I tried getting it into a "y=" format but I don't really understand how to deal with the y when it's squared in one part and cubed in the other. This is as far as I could figure:
    y=(-(xy+1)3)1/2

    Thanks for any help!
     
  2. jcsd
  3. Nov 18, 2012 #2

    SammyS

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    Use implicit differentiation.
     
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