What is the critical f(x,y)=x^3+y^3-3x^2-3y^2-9x ?

The critical f(x,y)=x^3+y^3-3x^2-3y^2-9x is (-1,2),(-1,0),(3,2),(3,0)

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critical f(x,y)=x^3+y^3-3x^2-3y^2-9x

critical points

f (x, y) = x^{3} + y^{3} - 3 x^{2} - 3 y^{2} - 9 x

(- 1, 2), (- 1, 0), (3, 2), (3, 0)

Solution steps

x^{3} + y^{3} - 3 x^{2} - 3 y^{2} - 9 x

Find where

\nabla f (x, y)

is equal to zero or undefined

(- 1, 2), (- 1, 0), (3, 2), (3, 0)

f (x) = 6 x^{3} - 18 x + 10

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

f (x) = 2 x^{2} ln (x)

f (x) = x^{3} - 3 x + 10

y = \frac{x - 1}{x ^{2} - x + 1}

What is the critical f(x,y)=x^3+y^3-3x^2-3y^2-9x ?
The critical f(x,y)=x^3+y^3-3x^2-3y^2-9x is (-1,2),(-1,0),(3,2),(3,0)