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) = x (4 - x)^{3}

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

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

f (x) = x^{4} - 8 x^{2} + 3

f (x) = x^{3} + 7 x^{2} - 5 x

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))