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Math Help - local minimum and maximum values

  1. #1
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    local minimum and maximum values

    Find the local minimum and local maximum values of the function
    f(x,y) = 4xy - x^4 - y^4

    I only got 3 critical points is that correct?
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  2. #2
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    3 looks right to me. Then, I seem to remember my Calc book having some crazy second-derivative test for ensuring they're extremes.
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  3. #3
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    Quote Originally Posted by Mazerakham View Post
    3 looks right to me. Then, I seem to remember my Calc book having some crazy second-derivative test for ensuring they're extremes.
    Using the second derivatives test I got one saddlepoint at (0, 0) and maximum at (1, 1) and (-1, -1)
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