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/(x^3+2)

Solution

extreme points

f (x) = \frac{x}{x ^{3} + 2}

Solution

Maximum (1, \frac{1}{3})

Solution steps

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

Find intervals:

Increasing

Increasing

Decreasing

: 1 < x < \infty

Plug

x = 1

into

\frac{x}{x ^{3} + 2} : \frac{1}{3}

Maximum (1, \frac{1}{3})

Popular Examples

range of-6x-18 range

- 6 x - 18

intercepts of y=-5 intercepts

y = - 5

inverse of 5x^2+210x-34775 inverse

5 x^{2} + 210 x - 34775

range of f(x)=(x^2-5)/3 range

f (x) = \frac{x ^{2} - 5}{3}

asymptotes of f(x)= 3/x+1 asymptotes

f (x) = \frac{3}{x} + 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)= x/(x^3+2) ?
The extreme f(x)= x/(x^3+2) is Maximum(1, 1/3)