Find the critical points of the function f (x, y) = x^3 + y^3 6y^2 3x + 9. Classify each critical point as a local max, local min, or saddle point.

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  1. Find the critical points of the function f (x, y) = x^3 + y^3 − 6y^2 − 3x + 9. Classify each critical point as a local max, local min, or saddle point. 

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