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Popular >

extreme y=(x-6)ln(x-6)

Solution

extreme points

y = (x - 6) ln (x - 6)

Solution

Minimum (\frac{1}{e} + 6, - \frac{1}{e})

Solution steps

f^{'} (x) = ln (x - 6) + 1

Find intervals:

Decreasing

: 6 < x < \frac{1}{e} + 6,

Increasing

: \frac{1}{e} + 6 < x < \infty

Plug

x = \frac{1}{e} + 6

into

(x - 6) ln (x - 6) : - \frac{1}{e}

Minimum (\frac{1}{e} + 6, - \frac{1}{e})

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme y=(x-6)ln(x-6) ?
The extreme y=(x-6)ln(x-6) is Minimum(1/e+6,-1/e)