en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inflection x^2ln(x/8)

Solution

inflection points

x^{2} ln (\frac{x}{8})

Solution

(\frac{8}{e ^{\frac{3}{2}}}, - \frac{96}{e ^{3}})

Solution steps

f^{''} (x) = 2 ln (\frac{x}{8}) + 3

Find intervals:

Concave Downward

: 0 < x < \frac{8}{e ^{\frac{3}{2}}},

Concave Upward

: \frac{8}{e ^{\frac{3}{2}}} < x < \infty

Plug

x = \frac{8}{e ^{\frac{3}{2}}}

into

x^{2} ln (\frac{x}{8}) : - \frac{96}{e ^{3}}

(\frac{8}{e ^{\frac{3}{2}}}, - \frac{96}{e ^{3}})

Popular Examples

domain of (4x)/(x-3)domain

\frac{4 x}{x - 3}

inflection f(x)=e^{-2x^2}inflection points

f (x) = e^{- 2 x^{2}}

extreme f(x)=5x^2-15x extreme points

f (x) = 5 x^{2} - 15 x

asymptotes of f(x)=(6x-7)/(x-4)asymptotes

f (x) = \frac{6 x - 7}{x - 4}

distance (-2,-3),(4,0)distance

(- 2, - 3), (4, 0)

Frequently Asked Questions (FAQ)

What is the inflection x^2ln(x/8) ?
The inflection x^2ln(x/8) is (8/(e^{3/2)},-(96)/(e^3))