en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme ln(1+x^2)

Solution

extreme points

ln (1 + x^{2})

Solution

Minimum (0, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

ln (1 + x^{2}) : 0

Minimum (0, 0)

Popular Examples

midpoint (3/4 ,-2/5),(-1/8 , 3/2)midpoint

(\frac{3}{4}, - \frac{2}{5}), (- \frac{1}{8}, \frac{3}{2})

domain of f(x)=sqrt(6x-42)domain

f (x) = 6 x - 42

inflection (x^2)/(x^2+3)inflection points

\frac{x ^{2}}{x ^{2} + 3}

asymptotes of ((x^2))/(x^2-16)asymptotes

\frac{( x ^{2} )}{x ^{2} - 16}

domain of f(x)=sqrt(x^2+x+4)domain

f (x) = x^{2} + x + 4

Frequently Asked Questions (FAQ)

What is the extreme ln(1+x^2) ?
The extreme ln(1+x^2) is Minimum(0,0)