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Popular >

extreme f(x)=xln(x/3)

Solution

extreme points

f (x) = x ln (\frac{x}{3})

Solution

Minimum (\frac{3}{e}, - \frac{3}{e})

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{3}{e}

into

x ln (\frac{x}{3}) : - \frac{3}{e}

Minimum (\frac{3}{e}, - \frac{3}{e})

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Frequently Asked Questions (FAQ)

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