en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme x-2ln(x+1)

Solution

extreme

Solution

Minimum (1, 1 - 2 ln (2))

Solution steps

f^{'} (x) = 1 - \frac{2}{x + 1}

Find intervals:

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

x - 2 ln (x + 1) : 1 - 2 ln (2)

Minimum (1, 1 - 2 ln (2))

Graph

Popular Examples

extreme f(x,y)=4x+6y

extreme f(x,y)=2-x^2-y^2

extreme f(x,y)=sqrt(400-64x^2-81y^2)

extreme f(x)=xy^2+3x^{-3x}

extreme f(x)= 5/(x+7)

Frequently Asked Questions (FAQ)

What is the extreme x-2ln(x+1) ?
The extreme x-2ln(x+1) is Minimum(1,1-2ln(2))