What is the critical f(x,y)=x^3-y^3-3x^2-3y^2-2 ?

The critical f(x,y)=x^3-y^3-3x^2-3y^2-2 is (0,-2),(0,0),(2,-2),(2,0)

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critical f(x,y)=x^3-y^3-3x^2-3y^2-2

critical points

f (x, y) = x^{3} - y^{3} - 3 x^{2} - 3 y^{2} - 2

(0, - 2), (0, 0), (2, - 2), (2, 0)

Solution steps

x^{3} - y^{3} - 3 x^{2} - 3 y^{2} - 2

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, - 2), (0, 0), (2, - 2), (2, 0)

What is the critical f(x,y)=x^3-y^3-3x^2-3y^2-2 ?
The critical f(x,y)=x^3-y^3-3x^2-3y^2-2 is (0,-2),(0,0),(2,-2),(2,0)