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Popular Functions >

extreme f(x)=6xln(x)

Solution

extreme

Solution

Minimum (\frac{1}{e}, - \frac{6}{e})

Solution steps

f^{'} (x) = 6 (ln (x) + 1)

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{e}

into

6 x ln (x) : - \frac{6}{e}

Minimum (\frac{1}{e}, - \frac{6}{e})

Graph

Popular Examples

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extreme (9x)/(x^2+36)

extreme f(x)=ln(1-x)+10x

extreme f(x)=10-|x|

Frequently Asked Questions (FAQ)

What is the extreme f(x)=6xln(x) ?
The extreme f(x)=6xln(x) is Minimum(1/e ,-6/e)