What is the critical x^4+y^4-4xy+1 ?

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

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critical x^4+y^4-4xy+1

critical points

x^{4} + y^{4} - 4 x y + 1

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

Solution steps

x^{4} + y^{4} - 4 x y + 1

Find where

\nabla f (x, y)

is equal to zero or undefined

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

f (x) = x^{3} - 3 x^{2} + 7

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

f (x) = x (x - 4)^{3}

x^{4} - 4 x^{3} + 10

f (x) = 6 x^{2} - x^{3}

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