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

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

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

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

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