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Popular >

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

Solution

extreme points

f (x) = \frac{e ^{x}}{1 + x ^{2}}

Solution

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

Solution steps

f^{'} (x) = \frac{e ^{x} ( 1 + x ^{2} ) - 2 x e ^{x}}{( 1 + x ^{2} ) ^{2}}

Find intervals:

Increasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

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

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

Popular Examples

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Frequently Asked Questions (FAQ)

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