en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

inflection f(x)=2x^3-9x^2+27

Solution

inflection points

f (x) = 2 x^{3} - 9 x^{2} + 27

Solution

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

Solution steps

f^{''} (x) = 12 x - 18

Find intervals:

Concave Downward

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

Concave Upward

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

Plug

x = \frac{3}{2}

into

2 x^{3} - 9 x^{2} + 27 : \frac{27}{2}

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

Graph

Popular Examples

domain of f(x)=-x^2+6x-5

inverse of f(x)=(2x+3)/6

asymptotes of f(x)=((x+1))/(x-2)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=2x^3-9x^2+27 ?
The inflection f(x)=2x^3-9x^2+27 is (3/2 , 27/2)