What is the critical f(x,y)=y^3+3x^2y-6x^2-6y^2+2 ?

The critical f(x,y)=y^3+3x^2y-6x^2-6y^2+2 is (0,4),(0,0),(2,2),(-2,2)

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critical f(x,y)=y^3+3x^2y-6x^2-6y^2+2

critical points

f (x, y) = y^{3} + 3 x^{2} y - 6 x^{2} - 6 y^{2} + 2

(0, 4), (0, 0), (2, 2), (- 2, 2)

Solution steps

y^{3} + 3 x^{2} y - 6 x^{2} - 6 y^{2} + 2

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 4), (0, 0), (2, 2), (- 2, 2)

What is the critical f(x,y)=y^3+3x^2y-6x^2-6y^2+2 ?
The critical f(x,y)=y^3+3x^2y-6x^2-6y^2+2 is (0,4),(0,0),(2,2),(-2,2)