What is the extreme f(x,y)=x^2-y^2+6x-8y+25 ?

The extreme f(x,y)=x^2-y^2+6x-8y+25 is Saddle(-3,-4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x,y)=x^2-y^2+6x-8y+25

extreme points

f (x, y) = x^{2} - y^{2} + 6 x - 8 y + 25

Saddle (- 3, - 4)

Solution steps

Find the critical points:

(- 3, - 4)

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

D (x, y) = - 4

Check the sign of at each critical point

Check critical point

(- 3, - 4) :

Saddle

Saddle (- 3, - 4)

What is the extreme f(x,y)=x^2-y^2+6x-8y+25 ?
The extreme f(x,y)=x^2-y^2+6x-8y+25 is Saddle(-3,-4)