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

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

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

critical points

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

(0, 0), (- \frac{1}{4}, - \frac{1}{4}), (\frac{1}{4}, \frac{1}{4})

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- \frac{1}{4}, - \frac{1}{4}), (\frac{1}{4}, \frac{1}{4})

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