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

The critical f(x,y)=xy-2x-2y-x^2-y^2 is (-2,-2)

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critical f(x,y)=xy-2x-2y-x^2-y^2

critical points

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

(- 2, - 2)

Solution steps

x y - 2 x - 2 y - x^{2} - y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

(- 2, - 2)

f (x) = x - 2 x

f (x) = \frac{x + 6}{2 x - 4}

f (x) = - 12 x - 6

f (x) = x^{3} - 2 x (y - 4) + (y - 4)^{3}

f (x) = x^{2} + \frac{1}{x ^{2}}

What is the critical f(x,y)=xy-2x-2y-x^2-y^2 ?
The critical f(x,y)=xy-2x-2y-x^2-y^2 is (-2,-2)