What is the critical f(x,y)=-x^2-4y^2-ax+axy ?

The critical f(x,y)=-x^2-4y^2-ax+axy is ((8a)/(a^2-16),(a^2)/(a^2-16))

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critical f(x,y)=-x^2-4y^2-ax+axy

critical points

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

(\frac{8 a}{a ^{2} - 16}, \frac{a ^{2}}{a ^{2} - 16})

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(\frac{8 a}{a ^{2} - 16}, \frac{a ^{2}}{a ^{2} - 16})

f (x) = x^{2} - 81

f (x) = x^{3} - 6 x^{2} + 2

f (x) = x^{3} - 6 x^{2} + 1

f (x) = - 2 e^{- x^{2}} x

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

What is the critical f(x,y)=-x^2-4y^2-ax+axy ?
The critical f(x,y)=-x^2-4y^2-ax+axy is ((8a)/(a^2-16),(a^2)/(a^2-16))