What is the critical f(x,y)=8xy-2x^4-2y^4 ?

The critical f(x,y)=8xy-2x^4-2y^4 is (0,0),(-1,-1),(1,1)

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critical f(x,y)=8xy-2x^4-2y^4

critical points

f (x, y) = 8 x y - 2 x^{4} - 2 y^{4}

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

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

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

f (x) = 5 x^{\frac{2}{3}} - 2 x^{\frac{5}{3}}

f (x) = x + \frac{32}{x ^{2}}

S (A, B) = 3 A^{4} B^{3} - 12 B^{3} + 7 A^{2}

What is the critical f(x,y)=8xy-2x^4-2y^4 ?
The critical f(x,y)=8xy-2x^4-2y^4 is (0,0),(-1,-1),(1,1)