What is the extreme f(x,y)=e^{9xy} ?

The extreme f(x,y)=e^{9xy} is Saddle(0,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x,y)=e^{9xy}

extreme points

f (x, y) = e^{9 x y}

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial x ^{2}} = 81 e^{9 x y} x^{2}

D (x, y) = - 1458 e^{18 x y} x y - 81 e^{18 x y}

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)