What is the extreme f(x)=5x^2-4y^2-7x+5y+4 ?

The extreme f(x)=5x^2-4y^2-7x+5y+4 is Saddle(7/10 , 5/8)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=5x^2-4y^2-7x+5y+4

extreme points

f (x) = 5 x^{2} - 4 y^{2} - 7 x + 5 y + 4

Saddle (\frac{7}{10}, \frac{5}{8})

Solution steps

Find the critical points:

(\frac{7}{10}, \frac{5}{8})

\frac{\partial ^{2} f}{\partial x ^{2}} = - 8

D (x, y) = - 80

Check the sign of at each critical point

Check critical point

(\frac{7}{10}, \frac{5}{8}) :

Saddle

Saddle (\frac{7}{10}, \frac{5}{8})

(3 x + 2) (2 x + 5)

f (x) = - \frac{4}{x - 5}

2 x^{2} + \frac{36}{x}

f (x) = - \frac{4}{x - 7}

f (x) = 4 - 9 - x

What is the extreme f(x)=5x^2-4y^2-7x+5y+4 ?
The extreme f(x)=5x^2-4y^2-7x+5y+4 is Saddle(7/10 , 5/8)