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

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

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

critical points

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

(0, 0), (- 2 m, - 2 m^{2})

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- 2 m, - 2 m^{2})

f (x, y) = x^{4} + y^{4} - 2 x^{2} - 32 y

y = x^{2} + 6 x

f (x) = 6 x - 12

f (x, y) = x^{2} - y^{2} 1 - x^{2} - y^{2}

f (x) = \frac{1}{x}

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