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Popular >

extreme y= x/((x-2)^2)

Solution

extreme points

y = \frac{x}{( x - 2 ) ^{2}}

Solution

Minimum (- 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}

Minimum (- 2, - \frac{1}{8})

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Frequently Asked Questions (FAQ)

What is the extreme y= x/((x-2)^2) ?
The extreme y= x/((x-2)^2) is Minimum(-2,-1/8)