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Popular Functions >

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

Solution

extreme points

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

Solution

Maximum (1, \frac{1}{4})

Solution steps

f^{'} (x) = \frac{1 - x}{( 1 + x ) ^{3}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

\frac{x}{( 1 + x ) ^{2}} : \frac{1}{4}

Maximum (1, \frac{1}{4})

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme f(x)= x/((1+x)^2) ?
The extreme f(x)= x/((1+x)^2) is Maximum(1, 1/4)