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+5

Solution

inflection points

f (x) = x^{4} - 4 x^{3} + 5

Solution

(0, 5), (2, - 11)

Solution steps

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

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = 0

into

x^{4} - 4 x^{3} + 5 : 5

(0, 5)

Plug

x = 2

into

x^{4} - 4 x^{3} + 5 : - 11

(2, - 11)

(0, 5), (2, - 11)

Popular Examples

asymptotes of (-3x+3)/(5x-5)asymptotes

\frac{- 3 x + 3}{5 x - 5}

inverse of f(x)=2x-7 inverse

f (x) = 2 x - 7

inverse of f(x)=2.4sqrt(x-0.3)+1.2 inverse

f (x) = 2.4 x - 0.3 + 1.2

range of f(x)=x^4-4x^3+3x^2 range

f (x) = x^{4} - 4 x^{3} + 3 x^{2}

asymptotes of sqrt(9x^2-6x)-3x asymptotes

9 x^{2} - 6 x - 3 x

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4-4x^3+5 ?
The inflection f(x)=x^4-4x^3+5 is (0,5),(2,-11)