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Find and determine all max/min values and any saddle points of f(x,y)=y^3+3yx^2-6x^2-6y^2+2 Please show all work clearly so I can follow and learn. Thank you.

Find and determine all max/min values and any saddle points of f(x,y)=y^3+3yx^2-6x^2-6y^2+2

Please show all work clearly so I can follow and learn. Thank you.

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