en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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})

Popular Examples

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

\frac{x ^{3}}{x ^{2} + 12}

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

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

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

f (x) = \frac{3 x ^{2} - 3 x}{x ^{2} + x - 12}

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

f (x) = \frac{2 x - 13}{2 x - 6}

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