What is the critical f(x,y)=2x^2+2xy+ay^2+2x-3 ?

The critical f(x,y)=2x^2+2xy+ay^2+2x-3 is (-a/(2a-1), 1/(2a-1))

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critical f(x,y)=2x^2+2xy+ay^2+2x-3

critical points

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

(- \frac{a}{2 a - 1}, \frac{1}{2 a - 1})

Solution steps

2 x^{2} + 2 x y + a y^{2} + 2 x - 3

Find where

\nabla f (x, y)

is equal to zero or undefined

(- \frac{a}{2 a - 1}, \frac{1}{2 a - 1})

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

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

2 x^{3} + x y^{2} + 5 x^{2} + y^{2}

f (x, y) = \frac{1}{3} x^{3} + y^{3} + 2 x^{2} - 12 x - 3 y

f (x, y) = 4 x^{2} - 12 x + y^{2} + 2 y - 10

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