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/2)

Solution

inflection points

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

Solution

(\frac{2}{e ^{\frac{3}{2}}}, - \frac{6}{e ^{3}})

Solution steps

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

Find intervals:

Concave Downward

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

Concave Upward

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

Plug

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

into

x^{2} ln (\frac{x}{2}) : - \frac{6}{e ^{3}}

(\frac{2}{e ^{\frac{3}{2}}}, - \frac{6}{e ^{3}})

Popular Examples

inverse of f(x)=(-2x-9)/(-5x+6)inverse

f (x) = \frac{- 2 x - 9}{- 5 x + 6}

domain of f(x)=sqrt(x)-6 domain

f (x) = x - 6

inverse of f(x)=2x^3 inverse

f (x) = 2 x^{3}

midpoint (5.1,5.71),(6,3.6)midpoint

(5.1, 5.71), (6, 3.6)

range of f(x)=(x-2)/(3x+7)range

f (x) = \frac{x - 2}{3 x + 7}

Frequently Asked Questions (FAQ)

What is the inflection x^2ln(x/2) ?
The inflection x^2ln(x/2) is (2/(e^{3/2)},-6/(e^3))