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Popular Functions >

extreme (x-9)ln(x-9)

Solution

extreme

Solution

Minimum (\frac{1}{e} + 9, - \frac{1}{e})

Solution steps

f^{'} (x) = ln (x - 9) + 1

Find intervals:

Decreasing

: 9 < x < \frac{1}{e} + 9,

Increasing

: \frac{1}{e} + 9 < x < \infty

Plug

x = \frac{1}{e} + 9

into

(x - 9) ln (x - 9) : - \frac{1}{e}

Minimum (\frac{1}{e} + 9, - \frac{1}{e})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme (x-9)ln(x-9) ?
The extreme (x-9)ln(x-9) is Minimum(1/e+9,-1/e)