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Level Sets and Degenerate Critical Points

  1. Mar 28, 2012 #1
    How would one show that if there is a number c for which g'(c)=0, then every point on the level set {(x,y)|H(x,y)=c} is a degenerate critical point of f?

    I know that the question may seem vague, but this is the question as it was given to me by my professor. It is something to think about, but. I would appreciate a comprehensive answer; however, any comments would also be appreciated.
  2. jcsd
  3. Mar 29, 2012 #2


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    it is not only vague but so vague as to be entirely meaningless. None of the relevant functions are defined or related to each other.
  4. Mar 29, 2012 #3
    Now you know how I feel.
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