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Popular >

extreme f(x)=8x-ln(8x)

Solution

extreme points

f (x) = 8 x - ln (8 x)

Solution

Minimum (\frac{1}{8}, 1)

Solution steps

f^{'} (x) = 8 - \frac{1}{x}

Find intervals:

Decreasing

: 0 < x < \frac{1}{8},

Increasing

: \frac{1}{8} < x < \infty

Plug

x = \frac{1}{8}

into

8 x - ln (8 x) : 1

Minimum (\frac{1}{8}, 1)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=8x-ln(8x) ?
The extreme f(x)=8x-ln(8x) is Minimum(1/8 ,1)