Calculus Help: Find and classify all critical points of f(x,y)=3x^2 y+y^3-3x^2-3y^2+2

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Let f(x,y) = 3x^2y+y^3-3x^2-3y^2+2. Find and classify all critical points of f. Let f(x,y) = 3x^2y+y^3-3x^2-3y^2+2. Find and classify all critical points of f.
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