What is the critical f(x)=x^2+2xy+2y^2-6x+10y+6 ?

The critical f(x)=x^2+2xy+2y^2-6x+10y+6 is (11,-8)

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critical f(x)=x^2+2xy+2y^2-6x+10y+6

critical points

f (x) = x^{2} + 2 x y + 2 y^{2} - 6 x + 10 y + 6

(11, - 8)

Solution steps

x^{2} + 2 x y + 2 y^{2} - 6 x + 10 y + 6

Find where

\nabla f (x, y)

is equal to zero or undefined

(11, - 8)

\frac{8 x ^{2} - 24 x}{3 ( x + 1 ) ^{\frac{1}{3}}}

f (x) = 6 x^{2} + 2 x - 12

8 - (x + 3)^{2}

x^{2} - 16

f (x) = x x + 7

What is the critical f(x)=x^2+2xy+2y^2-6x+10y+6 ?
The critical f(x)=x^2+2xy+2y^2-6x+10y+6 is (11,-8)