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Popular >

extreme x/((x+2)^2)

Solution

extreme points

\frac{x}{( x + 2 ) ^{2}}

Solution

Maximum (2, \frac{1}{8})

Solution steps

f^{'} (x) = \frac{2 - x}{( x + 2 ) ^{3}}

Find intervals:

Decreasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

\frac{x}{( x + 2 ) ^{2}} : \frac{1}{8}

Maximum (2, \frac{1}{8})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme x/((x+2)^2) ?
The extreme x/((x+2)^2) is Maximum(2, 1/8)