What is the extreme F(x,y)=15x^2-22xy+24x+8y^2-16y ?

The extreme F(x,y)=15x^2-22xy+24x+8y^2-16y is Saddle(8,12)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme F(x,y)=15x^2-22xy+24x+8y^2-16y

extreme points

F (x, y) = 15 x^{2} - 22 x y + 24 x + 8 y^{2} - 16 y

Saddle (8, 12)

Solution steps

Find the critical points:

(8, 12)

\frac{\partial ^{2} f}{\partial x ^{2}} = 16

D (x, y) = - 4

Check the sign of at each critical point

Check critical point

(8, 12) :

Saddle

Saddle (8, 12)

x^{6}

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

f (x) = x^{2} - 8 x + 40

f (x) = x^{2} - 8 x + 18

f (x) = \frac{x}{x ^{2} + 4}, - 5 \leq x \leq 5

What is the extreme F(x,y)=15x^2-22xy+24x+8y^2-16y ?
The extreme F(x,y)=15x^2-22xy+24x+8y^2-16y is Saddle(8,12)