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Popular >

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

Solution

extreme points

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

Solution

Minimum (2, 2 - 2 ln (2))

Solution steps

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

Find intervals:

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

x - 2 ln (x) : 2 - 2 ln (2)

Minimum (2, 2 - 2 ln (2))

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Frequently Asked Questions (FAQ)

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