What is the extreme f(x)=((xy)-λ(6x+y-20)) ?

The extreme f(x)=((xy)-λ(6x+y-20)) is Saddle(λ,6λ)

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extreme f(x)=((xy)-λ(6x+y-20))

extreme points

f (x) = ((x y) - λ (6 x + y - 20))

Saddle (λ, 6 λ)

Solution steps

Find the critical points:

(λ, 6 λ)

\frac{\partial ^{2} f}{\partial x ^{2}} = 0

D (x, y) = - 1

Check the sign of at each critical point

Check critical point

(λ, 6 λ) :

Saddle

Saddle (λ, 6 λ)

y = \frac{x + 3}{2}

f (x, y) = 3 x^{2} - x y + y^{2} - 11 x

f (x, y) = (x - 1)^{2} - (y - 1)^{2}

f (x, y) = x^{2} + y^{2} + 2 x - 18 y

f (x) = 161000 x - 100 x^{21}

What is the extreme f(x)=((xy)-λ(6x+y-20)) ?
The extreme f(x)=((xy)-λ(6x+y-20)) is Saddle(λ,6λ)