What is the critical f(x,y)=2x^2+y^4-2x^2y^2+3 ?

The critical f(x,y)=2x^2+y^4-2x^2y^2+3 is (0,0),(1,-1),(-1,-1),(1,1),(-1,1)

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critical f(x,y)=2x^2+y^4-2x^2y^2+3

critical points

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

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

Solution steps

2 x^{2} + y^{4} - 2 x^{2} y^{2} + 3

Find where

\nabla f (x, y)

is equal to zero or undefined

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

f (x) = 2 x + \frac{18}{x}

2 x^{3} - 3 x y + 3 y^{3}

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

x^{2} - 2 x + 1

\frac{2 x ^{2}}{1 - x ^{2}}

What is the critical f(x,y)=2x^2+y^4-2x^2y^2+3 ?
The critical f(x,y)=2x^2+y^4-2x^2y^2+3 is (0,0),(1,-1),(-1,-1),(1,1),(-1,1)