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Homework Help: Critical Point(s) of a Multivariable Function

  1. Mar 25, 2013 #1
    1. The problem statement, all variables and given/known data
    Find the critical points of f.

    2. Relevant equations
    For fx(x,y) I get:
    For fy(x,y) I get:

    3. The attempt at a solution
    Solving both of these for x and y when set equal to 0, gets me x = 1 and y = -1. However neither of these functions exist when x and y equal those values. Does the original function still have a critical point at (x,y) = (1,-1)?

    Additionally, when I put the function into Wolfram Alpha it says that it has no critical points.
    Last edited: Mar 25, 2013
  2. jcsd
  3. Mar 26, 2013 #2
    What is the definition of the critical point?
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