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

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

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

critical points

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

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

\frac{1}{x} - ln (x)

y = x 4 - x^{2}

f (x) = 4 x^{2} - 128 x

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