What is the extreme sqrt(25-x^2-y^2) ?

The extreme sqrt(25-x^2-y^2) is Maximum(0,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme sqrt(25-x^2-y^2)

extreme

Maximum (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial x ^{2}} = - \frac{25 - x ^{2}}{( 25 - x ^{2} - y ^{2} ) 25 - x ^{2} - y ^{2}}

D (x, y) = \frac{25}{( - x ^{2} - y ^{2} + 25 ) ^{2}}

Check the sign of at each critical point

Check critical point

(0, 0) :

Maximum

Maximum (0, 0)

What is the extreme sqrt(25-x^2-y^2) ?
The extreme sqrt(25-x^2-y^2) is Maximum(0,0)