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(7x)

Solution

extreme

Solution

Minimum (\frac{1}{7 e}, - \frac{1}{7 e})

Solution steps

f^{'} (x) = ln (7 x) + 1

Find intervals:

Decreasing

: 0 < x < \frac{1}{7 e},

Increasing

: \frac{1}{7 e} < x < \infty

Plug

x = \frac{1}{7 e}

into

x ln (7 x) : - \frac{1}{7 e}

Minimum (\frac{1}{7 e}, - \frac{1}{7 e})

Graph

Popular Examples

domain of f(x)= 4/(sqrt(x^2-1))

domain of f(x)=(43)/(7x-26)

slope ofintercept x-y=2

inverse of f(x)=sqrt(x-2)

domain of y=sqrt(6+x)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=xln(7x) ?
The extreme f(x)=xln(7x) is Minimum(1/(7e),-1/(7e))