en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inflection f(x)=6x^4+24x^3

Solution

inflection points

f (x) = 6 x^{4} + 24 x^{3}

Solution

(- 2, - 96), (0, 0)

Solution steps

f^{''} (x) = 72 x^{2} + 144 x

Find intervals:

Concave Upward

: - \infty < x < - 2,

Concave Downward

: - 2 < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = - 2

into

6 x^{4} + 24 x^{3} : - 96

(- 2, - 96)

Plug

x = 0

into

6 x^{4} + 24 x^{3} : 0

(0, 0)

(- 2, - 96), (0, 0)

Popular Examples

shift-2cos(4x-pi/2)shift

- 2 cos (4 x - \frac{π}{2})

f(x)=((sqrt(y^{(2))-1}))/((y))

f (x) = \frac{( y ^{(2)} - 1 )}{( y )}

domain of f(x)=sqrt(4x+24)domain

f (x) = 4 x + 24

domain of f(x)=1-sqrt(x)domain

f (x) = 1 - x

domain of y=sqrt(100-t^2)domain

y = 100 - t^{2}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=6x^4+24x^3 ?
The inflection f(x)=6x^4+24x^3 is (-2,-96),(0,0)