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

The critical f(x,y)=xy-x^2y-y^2 is (0,0),(1,0),(1/2 , 1/8)

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

critical points

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

(0, 0), (1, 0), (\frac{1}{2}, \frac{1}{8})

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (1, 0), (\frac{1}{2}, \frac{1}{8})

What is the critical f(x,y)=xy-x^2y-y^2 ?
The critical f(x,y)=xy-x^2y-y^2 is (0,0),(1,0),(1/2 , 1/8)