en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

inflection 3x^4-4x^3+2

Solution

inflection points

3 x^{4} - 4 x^{3} + 2

Solution

(0, 2), (\frac{2}{3}, \frac{38}{27})

Solution steps

f^{''} (x) = 36 x^{2} - 24 x

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < \frac{2}{3},

Concave Upward

: \frac{2}{3} < x < \infty

Plug

x = 0

into

3 x^{4} - 4 x^{3} + 2 : 2

(0, 2)

Plug

x = \frac{2}{3}

into

3 x^{4} - 4 x^{3} + 2 : \frac{38}{27}

(\frac{2}{3}, \frac{38}{27})

(0, 2), (\frac{2}{3}, \frac{38}{27})

Graph

Popular Examples

inflection (x^3)/(x^2+12)

parity f(x)=x^{1/2}tan(x^{1/2})

asymptotes of f(x)=(3x^2-3x)/(x^2+x-12)

domain of f(x)=(2x-13)/(2x-6)

midpoint (-4,5),(4,-2)

Frequently Asked Questions (FAQ)

What is the inflection 3x^4-4x^3+2 ?
The inflection 3x^4-4x^3+2 is (0,2),(2/3 , 38/27)