en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=x-ln(x)

Solution

extreme points

f (x) = x - ln (x)

Solution

Minimum (1, 1)

Solution steps

f^{'} (x) = 1 - \frac{1}{x}

Find intervals:

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

x - ln (x) : 1

Minimum (1, 1)

Popular Examples

domain of f(x)=\sqrt[3]{x+1}domain

intercepts of y=8x-18 intercepts

y = 8 x - 18

slope ofintercept-1/2 x+y=4 slope intercept

- \frac{1}{2} x + y = 4

inverse of y=8+0.75x inverse

y = 8 + 0.75 x

f(x)=(x^2)/(x^2-4)

f (x) = \frac{x ^{2}}{x ^{2} - 4}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x-ln(x) ?
The extreme f(x)=x-ln(x) is Minimum(1,1)