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Popular >

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

Solution

extreme points

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

Solution

Minimum (3, 3 - 3 ln (3))

Solution steps

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

Find intervals:

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 3

into

x - 3 ln (x) : 3 - 3 ln (3)

Minimum (3, 3 - 3 ln (3))

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

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