What is the extreme f(x)=e^{-at} ?

The extreme f(x)=e^{-at} is Saddle(0,0)

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extreme f(x)=e^{-at}

extreme points

f (x) = e^{- a t}

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

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

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

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)

\frac{6 - x}{x ^{3}}

f (x, y) = 3 x y - 4 x - 4 y + 3

h (x) = 5 - x^{2} (- 3.1)

f (x) = 4 csc (x)

S (v, t) = v \cdot t - \frac{v}{t} \cdot \frac{2 t ^{2}}{2}