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Popular >

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})

Popular Examples

extreme f(x)=x^3+3/2 x^2-5x-2 extreme points

f (x) = x^{3} + \frac{3}{2} x^{2} - 5 x - 2

range of f(x)=(x^2+2)/(x^2-4)range

f (x) = \frac{x ^{2} + 2}{x ^{2} - 4}

intercepts of y=6x-7 intercepts

y = 6 x - 7

range of (4x)/(x-1)range

\frac{4 x}{x - 1}

domain of f(x)=4x-2 domain

f (x) = 4 x - 2

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)