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Popular >

extreme f(x)= x/((x-5)^2)

Solution

extreme points

f (x) = \frac{x}{( x - 5 ) ^{2}}

Solution

Minimum (- 5, - \frac{1}{20})

Solution steps

f^{'} (x) = \frac{- 5 - x}{( x - 5 ) ^{3}}

Find intervals:

Decreasing

: - \infty < x < - 5,

Increasing

: - 5 < x < 5,

Decreasing

: 5 < x < \infty

Plug

x = - 5

into

\frac{x}{( x - 5 ) ^{2}} : - \frac{1}{20}

Minimum (- 5, - \frac{1}{20})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)= x/((x-5)^2) ?
The extreme f(x)= x/((x-5)^2) is Minimum(-5,-1/20)