What is the inflection f(x)=x^4-54x^2+1 ?

The inflection f(x)=x^4-54x^2+1 is (-3,-404),(3,-404)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inflection f(x)=x^4-54x^2+1

inflection points

f (x) = x^{4} - 54 x^{2} + 1

(- 3, - 404), (3, - 404)

Solution steps

f^{''} (x) = 12 x^{2} - 108

Find intervals:

Concave Upward

: - \infty < x < - 3,

Concave Downward

: - 3 < x < 3,

Concave Upward

: 3 < x < \infty

Plug

x = - 3

into

x^{4} - 54 x^{2} + 1 : - 404

(- 3, - 404)

Plug

x = 3

into

x^{4} - 54 x^{2} + 1 : - 404

(3, - 404)

(- 3, - 404), (3, - 404)

f (x) = - 2 sin (2 π x)

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

y = - \frac{1}{2} x + 3

f (x) = 4 - x + 3

y = x + 7

What is the inflection f(x)=x^4-54x^2+1 ?
The inflection f(x)=x^4-54x^2+1 is (-3,-404),(3,-404)