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

The critical f(x)=2x^2+2xy+2y^2-6x is (2,-1)

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

critical points

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

(2, - 1)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(2, - 1)

y = \frac{- 2 ( x ^{2} - 1 )}{x ^{2} - 4}

f (x) = x^{5 x}

f (x) = 2 x^{3} + x^{2} - 20 x + 5

(12 - 6 x) e^{x}

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

What is the critical f(x)=2x^2+2xy+2y^2-6x ?
The critical f(x)=2x^2+2xy+2y^2-6x is (2,-1)