en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inflection y= 1/(x^2)-1/x

Solution

inflection points

y = \frac{1}{x ^{2}} - \frac{1}{x}

Solution

(3, - \frac{2}{9})

Solution steps

f^{''} (x) = \frac{6}{x ^{4}} - \frac{2}{x ^{3}}

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Upward

: 0 < x < 3,

Concave Downward

: 3 < x < \infty

Plug

x = 3

into

\frac{1}{x ^{2}} - \frac{1}{x} : - \frac{2}{9}

(3, - \frac{2}{9})

Popular Examples

domain of (x-2)/(x^2-4)domain

\frac{x - 2}{x ^{2} - 4}

inflection x^2ln(x/4)inflection points

x^{2} ln (\frac{x}{4})

domain of (5x)/(3+2x)domain

\frac{5 x}{3 + 2 x}

amplitude of y=1.5sin(4x)amplitude

y = 1.5 sin (4 x)

domain of f(x)= 6/(x+8)domain

f (x) = \frac{6}{x + 8}

Frequently Asked Questions (FAQ)

What is the inflection y= 1/(x^2)-1/x ?
The inflection y= 1/(x^2)-1/x is (3,-2/9)