What is the critical ax^2+2xy+3y^2+4x-1 ?

The critical ax^2+2xy+3y^2+4x-1 is (-6/(-1+3a), 2/(-1+3a))

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critical ax^2+2xy+3y^2+4x-1

critical points

a x^{2} + 2 x y + 3 y^{2} + 4 x - 1

(- \frac{6}{- 1 + 3 a}, \frac{2}{- 1 + 3 a})

Solution steps

a x^{2} + 2 x y + 3 y^{2} + 4 x - 1

Find where

\nabla f (x, y)

is equal to zero or undefined

(- \frac{6}{- 1 + 3 a}, \frac{2}{- 1 + 3 a})

f (x) = \frac{x ^{3}}{3} + \frac{3 x ^{2}}{2} - 10 x - 1

f (x) = I n (3 - 2 x)

x e^{- 4 x}

f (x, y) = x^{4} - 8 x^{2} + 3 y^{2} - 6 y

(x + 2)^{\frac{2}{3}}

What is the critical ax^2+2xy+3y^2+4x-1 ?
The critical ax^2+2xy+3y^2+4x-1 is (-6/(-1+3a), 2/(-1+3a))