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

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

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

critical points

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

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

Solution steps

(y - 2) x^{2} - y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

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

\frac{x ^{2} - 4}{x ^{2} - 2}

f (x) = 3 x^{5} - 5 x^{4} + 2

f (x, y) = 62 x^{4} + 62 y^{4} - 4 x y + 12

f (x) = 2 y^{3} - 6 x y - x^{2}

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

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