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Finding The Minimums, Maximums, And Saddle Points Of A Graph.

  1. Feb 24, 2013 #1
    1. The problem statement, all variables and given/known data

    Find the maximums, minimums, and saddle points (if any) of

    Z = 4Y3 + X2 - 12Y2 - 36Y +2

    2. Relevant equations
    The partial derivatives with respect to X , and Y.

    3. The attempt at a solution

    I took the two partials, and set them equal to zero. The problem is that there is not anything to substitute, and when I tried solving them there was no solution.
  2. jcsd
  3. Feb 24, 2013 #2


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    Science Advisor
    Homework Helper

    Yes, there are solutions. Show your work.
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