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Popular >

extreme (x^2+1)/((x-1)^2)

Solution

extreme points

\frac{x ^{2} + 1}{( x - 1 ) ^{2}}

Solution

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

Solution steps

f^{'} (x) = \frac{2 ( - x - 1 )}{( x - 1 ) ^{3}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

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

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

Graph

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Frequently Asked Questions (FAQ)

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