What is the extreme x^2-y^2-2x+4y+6 ?

The extreme x^2-y^2-2x+4y+6 is Saddle(1,2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme x^2-y^2-2x+4y+6

extreme points

x^{2} - y^{2} - 2 x + 4 y + 6

Saddle (1, 2)

Solution steps

Find the critical points:

(1, 2)

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

D (x, y) = - 4

Check the sign of at each critical point

Check critical point

(1, 2) :

Saddle

Saddle (1, 2)

f (x) = ln (4 x^{2} + 18 y^{2} - 36)

f (x) = x^{3} + y^{3} - 15 x y

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

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

f (x, y) = 2 x^{2} + 3 x y + 4 y^{2} + 6 x - 7 y

What is the extreme x^2-y^2-2x+4y+6 ?
The extreme x^2-y^2-2x+4y+6 is Saddle(1,2)