What is the extreme f(x,y)=-9x^2-2y^2+5x-9y+10 ?

The extreme f(x,y)=-9x^2-2y^2+5x-9y+10 is Maximum(5/18 ,-9/4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x,y)=-9x^2-2y^2+5x-9y+10

extreme points

f (x, y) = - 9 x^{2} - 2 y^{2} + 5 x - 9 y + 10

Maximum (\frac{5}{18}, - \frac{9}{4})

Solution steps

Find the critical points:

(\frac{5}{18}, - \frac{9}{4})

\frac{\partial ^{2} f}{\partial x ^{2}} = - 4

D (x, y) = 72

Check the sign of at each critical point

Check critical point

(\frac{5}{18}, - \frac{9}{4}) :

Maximum

Maximum (\frac{5}{18}, - \frac{9}{4})

f (x) = \frac{18}{x ^{2} + 2}

f (x) = - 3 x + ln (x), (0, 3)

x y + \frac{50}{x} + \frac{20}{y}

\frac{x}{x ^{3} + x ^{2} + 9}

f (x) = x^{4} - 128 x^{2} + 5

What is the extreme f(x,y)=-9x^2-2y^2+5x-9y+10 ?
The extreme f(x,y)=-9x^2-2y^2+5x-9y+10 is Maximum(5/18 ,-9/4)