What is the inflection f(x)=18x^4-108x^2 ?

The inflection f(x)=18x^4-108x^2 is (-1,-90),(1,-90)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inflection f(x)=18x^4-108x^2

inflection points

f (x) = 18 x^{4} - 108 x^{2}

(- 1, - 90), (1, - 90)

Solution steps

f^{''} (x) = 216 x^{2} - 216

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 1

into

18 x^{4} - 108 x^{2} : - 90

(- 1, - 90)

Plug

x = 1

into

18 x^{4} - 108 x^{2} : - 90

(1, - 90)

(- 1, - 90), (1, - 90)

What is the inflection f(x)=18x^4-108x^2 ?
The inflection f(x)=18x^4-108x^2 is (-1,-90),(1,-90)