What is the extreme Z(p,q)=p^2+q^2 ?

The extreme Z(p,q)=p^2+q^2 is Minimum(0,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme Z(p,q)=p^2+q^2

extreme points

Z (p, q) = p^{2} + q^{2}

Minimum (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial p ^{2}} = 2

D (p, q) = 4

Check the sign of at each critical point

Check critical point

(0, 0) :

Minimum

Minimum (0, 0)

f (x) = x^{3} + 4 x^{2} + 10

f (x) = x^{3} + 6 x^{2} - x - 6

\frac{810 + 100 x + 0.1 x ^{2}}{x}

y = \frac{x ^{2} - 3}{x - 2}

6 + 2 x - 2 x^{2}