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Find all critical points of f (x, y) = x3 + y3 3x2 3 y2 9x and classify each as yielding local max., local min.,

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Find all critical points of f (x, y) = x3 + y3 3x2 3 y2 9x and classify each as yielding local max., local min., or saddle points. You do not need to find the functional values at the critical points. Show how you arrive at your conclusions

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