en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme (x-7)/(x^2)

Solution

extreme

Solution

Maximum (14, \frac{1}{28})

Solution steps

f^{'} (x) = \frac{- x + 14}{x ^{3}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 14,

Decreasing

: 14 < x < \infty

Plug

x = 14

into

\frac{x - 7}{x ^{2}} : \frac{1}{28}

Maximum (14, \frac{1}{28})

Graph

Popular Examples

extreme f(x)=2x^2-3x-1

extreme sqrt((2x+1)/(x^2+2x-3))

extreme f(x)=(x^2-11)/(x-6)

extreme 1/4-3/2 x

extreme 2sqrt(x-3)

Frequently Asked Questions (FAQ)

What is the extreme (x-7)/(x^2) ?
The extreme (x-7)/(x^2) is Maximum(14, 1/28)