What is the extreme f(x,y)=xy-2x-y ?

The extreme f(x,y)=xy-2x-y is Saddle(1,2)

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extreme f(x,y)=xy-2x-y

extreme points

f (x, y) = x y - 2 x - y

Saddle (1, 2)

Solution steps

Find the critical points:

(1, 2)

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

D (x, y) = - 1

Check the sign of at each critical point

Check critical point

(1, 2) :

Saddle

Saddle (1, 2)

f (x) = x^{2} - 6 x - 7

f (x) = x e^{5 x^{2}}

f (x, y) = 8 x^{2} + 14 x y + 3 y^{2} + 10 x - 4

(x^{2} + 10) (9 - x^{2})

f (x, y) = x^{2} + y^{2} - 2 x + 6 y + 10