What is the critical 2x^2y-2xy+2y^2-6y ?

The critical 2x^2y-2xy+2y^2-6y is ((1+sqrt(13))/2 ,0),((1-sqrt(13))/2 ,0),(1/2 , 13/8)

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critical 2x^2y-2xy+2y^2-6y

critical points

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

(\frac{1 + 13}{2}, 0), (\frac{1 - 13}{2}, 0), (\frac{1}{2}, \frac{13}{8})

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(\frac{1 + 13}{2}, 0), (\frac{1 - 13}{2}, 0), (\frac{1}{2}, \frac{13}{8})

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

12 x^{2} + 2 x^{3}

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

y = x^{\frac{6}{7}} (x^{2} - 2)

f (x) = \frac{( x ^{4} + 4 )}{x ^{2}}

What is the critical 2x^2y-2xy+2y^2-6y ?
The critical 2x^2y-2xy+2y^2-6y is ((1+sqrt(13))/2 ,0),((1-sqrt(13))/2 ,0),(1/2 , 13/8)