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^4-10x^3

Solution

inflection points

f (x) = x^{4} - 10 x^{3}

Solution

(0, 0), (5, - 625)

Solution steps

f^{''} (x) = 12 x^{2} - 60 x

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 5,

Concave Upward

: 5 < x < \infty

Plug

x = 0

into

x^{4} - 10 x^{3} : 0

(0, 0)

Plug

x = 5

into

x^{4} - 10 x^{3} : - 625

(5, - 625)

(0, 0), (5, - 625)

Graph

Popular Examples

intercepts of x^2+81

domain of 5+(6+x)^{1/2}

domain of sqrt(4-3x)

inverse of \sqrt[3]{x+4}

domain of sqrt(x+8)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4-10x^3 ?
The inflection f(x)=x^4-10x^3 is (0,0),(5,-625)