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Consider the function f(x, y) = x2 + 2y2 4x 4y, defined on R2. Find and classify all the extremal points of the function

Consider the function f(x, y) = x2 + 2y2 4x 4y, defined on R2. Find and classify all the extremal points of the function g(x, y) f2(x,y).

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