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

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

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

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

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

y = x^{\frac{2}{3}} (6 - x)^{\frac{1}{3}}

8 x^{3} + 81 x^{2} - 42 x - 8

f (x) = - \frac{1}{4} x^{4} + x^{3} + 5

4 x^{2} y + 2 x y^{2} - 12 x y - 5

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