en

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+4x^3

Solution

inflection points

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

Solution

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

Solution steps

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

Find intervals:

Concave Upward

: - \infty < x < - 2,

Concave Downward

: - 2 < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = - 2

into

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

(- 2, - 16)

Plug

x = 0

into

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

(0, 0)

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

Popular Examples

inverse of f(x)=(2x+3)/(x-1)inverse

f (x) = \frac{2 x + 3}{x - 1}

asymptotes of f(x)=(10x^4-3)/(2x+5x^2)asymptotes

f (x) = \frac{10 x ^{4} - 3}{2 x + 5 x ^{2}}

extreme 6x^4-8x^3-87x^2+90x+24 extreme points

6 x^{4} - 8 x^{3} - 87 x^{2} + 90 x + 24

inflection f(x)=-x^5+5x-10 inflection points

f (x) = - x^{5} + 5 x - 10

domain of 2cos(x)domain

2 cos (x)

Frequently Asked Questions (FAQ)

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