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Popular Functions >

extreme ln(x-1)*(x-1)

Solution

extreme points

ln (x - 1) \cdot (x - 1)

Solution

Minimum (\frac{1}{e} + 1, - \frac{1}{e})

Solution steps

f^{'} (x) = 1 + ln (x - 1)

Find intervals:

Decreasing

: 1 < x < \frac{1}{e} + 1,

Increasing

: \frac{1}{e} + 1 < x < \infty

Plug

x = \frac{1}{e} + 1

into

ln (x - 1) \cdot (x - 1) : - \frac{1}{e}

Minimum (\frac{1}{e} + 1, - \frac{1}{e})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme ln(x-1)*(x-1) ?
The extreme ln(x-1)*(x-1) is Minimum(1/e+1,-1/e)