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Popular Functions >

extreme f(x)=2x-ln(x)

Solution

extreme

Solution

Minimum (\frac{1}{2}, 1 + ln (2))

Solution steps

f^{'} (x) = 2 - \frac{1}{x}

Find intervals:

Decreasing

: 0 < x < \frac{1}{2},

Increasing

: \frac{1}{2} < x < \infty

Plug

x = \frac{1}{2}

into

2 x - ln (x) : 1 + ln (2)

Minimum (\frac{1}{2}, 1 + ln (2))

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=2x-ln(x) ?
The extreme f(x)=2x-ln(x) is Minimum(1/2 ,1+ln(2))