What is the critical f(x,y)=4xy-x^4-2y^2+2 ?

The critical f(x,y)=4xy-x^4-2y^2+2 is (0,0),(-1,-1),(1,1)

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critical f(x,y)=4xy-x^4-2y^2+2

critical points

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

(0, 0), (- 1, - 1), (1, 1)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- 1, - 1), (1, 1)

f (x) = \frac{x}{1 - x}

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

x^{4} - 2 x^{2}

f (x) = I n (5 x + 1) - 7

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

What is the critical f(x,y)=4xy-x^4-2y^2+2 ?
The critical f(x,y)=4xy-x^4-2y^2+2 is (0,0),(-1,-1),(1,1)