What is the extreme f(x,y)=3+xy-x-2y ?

The extreme f(x,y)=3+xy-x-2y is Saddle(2,1)

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extreme f(x,y)=3+xy-x-2y

extreme points

f (x, y) = 3 + x y - x - 2 y

Saddle (2, 1)

Solution steps

Find the critical points:

(2, 1)

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

D (x, y) = - 1

Check the sign of at each critical point

Check critical point

(2, 1) :

Saddle

Saddle (2, 1)

f (x) = 14 + 2 x - x^{2}

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

f (x) = \frac{x ^{7}}{e ^{4 x}}

25 - x^{2} - y^{2}

y = \frac{3 x - 6}{x + 2}

What is the extreme f(x,y)=3+xy-x-2y ?
The extreme f(x,y)=3+xy-x-2y is Saddle(2,1)