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Popular Functions >

extreme f(x)=xln(x/5)

Solution

extreme

Solution

Minimum (\frac{5}{e}, - \frac{5}{e})

Solution steps

f^{'} (x) = ln (\frac{x}{5}) + 1

Find intervals:

Decreasing

: 0 < x < \frac{5}{e},

Increasing

: \frac{5}{e} < x < \infty

Plug

x = \frac{5}{e}

into

x ln (\frac{x}{5}) : - \frac{5}{e}

Minimum (\frac{5}{e}, - \frac{5}{e})

Graph

Popular Examples

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extreme y^2-x^2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=xln(x/5) ?
The extreme f(x)=xln(x/5) is Minimum(5/e ,-5/e)