en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

inflection x^{(4)}-8x^{(3)}

Solution

inflection points

x^{(4)} - 8 x^{(3)}

Solution

(0, 0), (4, - 256)

Solution steps

f^{''} (x) = 12 x^{2} - 48 x

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 4,

Concave Upward

: 4 < x < \infty

Plug

x = 0

into

x^{4} - 8 x^{3} : 0

(0, 0)

Plug

x = 4

into

x^{4} - 8 x^{3} : - 256

(4, - 256)

(0, 0), (4, - 256)

Graph

Popular Examples

extreme f(x)=-16t^2+65t+6

domain of f(x)=(2x+9)/(x-3)

domain of f(x)=sqrt(x+2)+3

inverse of f(x)=5x-7

inverse of y=(e^x)/(1+2e^x)

Frequently Asked Questions (FAQ)

What is the inflection x^{(4)}-8x^{(3)} ?
The inflection x^{(4)}-8x^{(3)} is (0,0),(4,-256)