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Popular >

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

Solution

extreme points

f (x) = 6 x - ln (6 x)

Solution

Minimum (\frac{1}{6}, 1)

Solution steps

f^{'} (x) = 6 - \frac{1}{x}

Find intervals:

Decreasing

: 0 < x < \frac{1}{6},

Increasing

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

Plug

x = \frac{1}{6}

into

6 x - ln (6 x) : 1

Minimum (\frac{1}{6}, 1)

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Frequently Asked Questions (FAQ)

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