en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

monotone (x^3)/(3-x^2)

Solution

monotone

Solution

Decreasing : - \infty < x < - 3, Increasing : - 3 < x < - 3, Increasing : - 3 < x < 0, Increasing : 0 < x < 3, Increasing : 3 < x < 3, Decreasing : 3 < x < \infty

Solution steps

f^{'} (x) = \frac{9 x ^{2} - x ^{4}}{( 3 - x ^{2} ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < - 3,

Increasing

: - 3 < x < 0,

Increasing

: 0 < x < 3,

Increasing

: 3 < x < 3,

Decreasing

: 3 < x < \infty

Decreasing : - \infty < x < - 3, Increasing : - 3 < x < - 3, Increasing : - 3 < x < 0, Increasing : 0 < x < 3, Increasing : 3 < x < 3, Decreasing : 3 < x < \infty

Graph

Popular Examples

slope ofintercept 10x-5y=20

range of \sqrt[3]{-x^2+6x-7}

inverse of 1/(sqrt(32))

critical (16)/(4+10e^{-1.4t)}

domain of f(x)=5x+10

Frequently Asked Questions (FAQ)

What is the monotone (x^3)/(3-x^2) ?
The monotone (x^3)/(3-x^2) is