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Consider the function f(x,y) = x^{4}+y^{4}-4xy . (a) Identify and classify all critical points of the function f.
Consider the function f(x,y) = .
(a) Identify and classify all critical points of the function f.
(b) Determine the minimum and maximum values of the function f on the curve .
(c) Determine the absolute minimum and maximum values of the function f on the region .