What is the extreme f(x,y)=3x^2-9y^2-24x-54y+2 ?

The extreme f(x,y)=3x^2-9y^2-24x-54y+2 is Saddle(4,-3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x,y)=3x^2-9y^2-24x-54y+2

extreme points

f (x, y) = 3 x^{2} - 9 y^{2} - 24 x - 54 y + 2

Saddle (4, - 3)

Solution steps

Find the critical points:

(4, - 3)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 18

D (x, y) = - 108

Check the sign of at each critical point

Check critical point

(4, - 3) :

Saddle

Saddle (4, - 3)

f (x) = - \frac{e ^{2 x}}{- 2 x - 5}

f (x) = 4 x^{2} - y^{2}

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

g (x, y) = 3 x^{2} + y^{2} - 9

f (x) = 2500 x - 5 x^{2} + 10000

What is the extreme f(x,y)=3x^2-9y^2-24x-54y+2 ?
The extreme f(x,y)=3x^2-9y^2-24x-54y+2 is Saddle(4,-3)