en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme xln(x)

Solution

extreme

Solution

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

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{e}

into

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

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

Graph

Popular Examples

extreme f(x)=ln(7-5x^2)

domain of f(x)=sqrt(4x+5)

symmetry y=2x^2

intercepts of y=tan(x)

inverse of f(x)= 1/(x-4)

Frequently Asked Questions (FAQ)

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