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+4)/(x^2)

Solution

extreme points

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

Solution

Minimum (- 8, - \frac{1}{16})

Solution steps

f^{'} (x) = \frac{- x - 8}{x ^{3}}

Find intervals:

Decreasing

: - \infty < x < - 8,

Increasing

: - 8 < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = - 8

into

\frac{x + 4}{x ^{2}} : - \frac{1}{16}

Minimum (- 8, - \frac{1}{16})

Popular Examples

domain of f(x)=sqrt(x+18)domain

f (x) = x + 18

domain of f(x)=-2/(x^3)domain

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

parity f(x)=|x|-1 parity

f (x) = ∣ x ∣ - 1

extreme f(x)=4sqrt(x)-6x extreme points

f (x) = 4 x - 6 x

inverse of x^3-6 inverse

x^{3} - 6

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x+4)/(x^2) ?
The extreme f(x)=(x+4)/(x^2) is Minimum(-8,-1/16)