What is the critical f(x,y)=x^2+xy+y^2-6x+6 ?

The critical f(x,y)=x^2+xy+y^2-6x+6 is (4,-2)

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critical f(x,y)=x^2+xy+y^2-6x+6

critical points

f (x, y) = x^{2} + x y + y^{2} - 6 x + 6

(4, - 2)

Solution steps

x^{2} + x y + y^{2} - 6 x + 6

Find where

\nabla f (x, y)

is equal to zero or undefined

(4, - 2)

x^{4} - 3 x^{3}

f (x) = 4 x^{2} + 12 x - 7

5 x^{4} - 20 x^{3} + 9

f (x, y) = 10 - 8 x + 5 y + 3 x^{2} - 7 x y + 2 y^{2}

x^{\frac{2}{3}} (x^{2} - 8)

What is the critical f(x,y)=x^2+xy+y^2-6x+6 ?
The critical f(x,y)=x^2+xy+y^2-6x+6 is (4,-2)