en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

inflection f(x)=x^4-4x^3

Solution

inflection points

f (x) = x^{4} - 4 x^{3}

Solution

(0, 0), (2, - 16)

Solution steps

f^{''} (x) = 12 x^{2} - 24 x

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = 0

into

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

(0, 0)

Plug

x = 2

into

x^{4} - 4 x^{3} : - 16

(2, - 16)

(0, 0), (2, - 16)

Graph

Popular Examples

inverse of f(x)=(x+2)/3

domain of \sqrt[3]{x+1}+3

domain of f(x)=sqrt((4-x^2)/(x+1))

extreme f(x)=3x^4+4x^3

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4-4x^3 ?
The inflection f(x)=x^4-4x^3 is (0,0),(2,-16)