What is the extreme f(t)=10e^{at} ?

The extreme f(t)=10e^{at} 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(t)=10e^{at}

extreme

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial t ^{2}} = 10 e^{t a} t^{2}

D (t, a) = - 200 e^{2 t a} t a - 100 e^{2 t a}

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)