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Popular >

extreme f(x)= x/((x+3)^2)

Solution

extreme points

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

Solution

Maximum (3, \frac{1}{12})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 3

into

\frac{x}{( x + 3 ) ^{2}} : \frac{1}{12}

Maximum (3, \frac{1}{12})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)= x/((x+3)^2) ?
The extreme f(x)= x/((x+3)^2) is Maximum(3, 1/12)