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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- Aug 16th 2010, 02:39 PMlarryboi7local 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? - Aug 16th 2010, 02:54 PMMazerakham
3 looks right to me. Then, I seem to remember my Calc book having some crazy second-derivative test for ensuring they're extremes.

- Aug 16th 2010, 03:05 PMlarryboi7