What is the critical f(x,y)=2x^3-3x^2y-12x^2-3y^2 ?

The critical f(x,y)=2x^3-3x^2y-12x^2-3y^2 is (0,0),(2,-2),(-4,-8)

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critical f(x,y)=2x^3-3x^2y-12x^2-3y^2

critical points

f (x, y) = 2 x^{3} - 3 x^{2} y - 12 x^{2} - 3 y^{2}

(0, 0), (2, - 2), (- 4, - 8)

Solution steps

2 x^{3} - 3 x^{2} y - 12 x^{2} - 3 y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (2, - 2), (- 4, - 8)

f (x, y) = 7 x - 8 y + 2 x y - x^{2} + y^{3}

f (x) = t^{\frac{3}{4}} - 9 t^{\frac{1}{4}}

x e^{- x^{2}}

f (x, y) = - 5 x^{2} + 4 x y - y^{2} + 16 x + 10

f (x) = x^{3} - 6 x^{2} + 15

What is the critical f(x,y)=2x^3-3x^2y-12x^2-3y^2 ?
The critical f(x,y)=2x^3-3x^2y-12x^2-3y^2 is (0,0),(2,-2),(-4,-8)