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

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

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

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

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

f (x) = x^{4} + 6 x^{3} + 11 x^{2} + 6 x + 200

x^{2} (x - 12)^{2}

f (x) = \frac{x ^{3} - x}{x ^{2} - 4}

f (x, y) = \frac{1}{3} x^{3} - x y^{2} + y^{2}

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