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Let the function f on R2 be f(x,y) = x3−3αxy+y3,∀(x,y) ∈R2, where α ∈R is a...

Let the function f on R2 be f(x,y) = x3−3αxy+y3,∀(x,y) ∈R2, where α ∈R is a parameter.

Show that f has no global minimizer or global maximizer for any α.

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