What is the critical f(x,y)=3x^4+3y^4-xy ?

The critical f(x,y)=3x^4+3y^4-xy is (0,0),(-1/(2sqrt(3)),-1/(2sqrt(3))),(1/(2sqrt(3)), 1/(2sqrt(3)))

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critical f(x,y)=3x^4+3y^4-xy

critical points

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

(0, 0), (- \frac{1}{2 3}, - \frac{1}{2 3}), (\frac{1}{2 3}, \frac{1}{2 3})

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- \frac{1}{2 3}, - \frac{1}{2 3}), (\frac{1}{2 3}, \frac{1}{2 3})

What is the critical f(x,y)=3x^4+3y^4-xy ?
The critical f(x,y)=3x^4+3y^4-xy is (0,0),(-1/(2sqrt(3)),-1/(2sqrt(3))),(1/(2sqrt(3)), 1/(2sqrt(3)))