en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme f(x)=xln(x/6)

Solution

extreme

Solution

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

Solution steps

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

Find intervals:

Decreasing

: 0 < x < \frac{6}{e},

Increasing

: \frac{6}{e} < x < \infty

Plug

x = \frac{6}{e}

into

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

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

Graph

Popular Examples

extreme f(x)=-x^2+3x^2+9x+1

extreme f(x)= t/(t-1)(2.3)

extreme 72y^2+x^2-x^2y

extreme f(x)=|x^3-6x-4|

extreme f(x)=x^{2/3}(20-3x)

Frequently Asked Questions (FAQ)

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