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Popular Functions >

extreme f(t)=(e^t)/(t^2+1)

Solution

extreme

Solution

Saddle (1, \frac{e}{2})

Solution steps

f^{'} (t) = \frac{e ^{t} ( t ^{2} + 1 ) - 2 t e ^{t}}{( t ^{2} + 1 ) ^{2}}

Find intervals:

Increasing

: - \infty < t < 1,

Increasing

: 1 < t < \infty

Plug

t = 1

into

\frac{e ^{t}}{t ^{2} + 1} : \frac{e}{2}

Saddle (1, \frac{e}{2})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(t)=(e^t)/(t^2+1) ?
The extreme f(t)=(e^t)/(t^2+1) is Saddle(1, e/2)