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Popular Functions >

extreme f(x)=3x-ln(3x)

Solution

extreme points

f (x) = 3 x - ln (3 x)

Solution

Minimum (\frac{1}{3}, 1)

Solution steps

f^{'} (x) = 3 - \frac{1}{x}

Find intervals:

Decreasing

: 0 < x < \frac{1}{3},

Increasing

: \frac{1}{3} < x < \infty

Plug

x = \frac{1}{3}

into

3 x - ln (3 x) : 1

Minimum (\frac{1}{3}, 1)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x-ln(3x) ?
The extreme f(x)=3x-ln(3x) is Minimum(1/3 ,1)