en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

critical (2ln(x))/x

Solution

critical points

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

Solution

x = e

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = e, x = 0

Identify critical points not in

f (x)

domain

Domain of

\frac{2 ln ( x )}{x} : x > 0

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

is not defined at

x = 0

, therefore:

x = e

Graph

Popular Examples

critical f(x,y)=2y+7-2x critical points

f (x, y) = 2 y + 7 - 2 x

critical f(x)=-x^4+4x^3+5 critical points

f (x) = - x^{4} + 4 x^{3} + 5

critical y=0.41x^3-17.8x^2+257x-1205 critical points

y = 0.41 x^{3} - 17.8 x^{2} + 257 x - 1205

critical x^2+(81)/(x^2)critical points

x^{2} + \frac{81}{x ^{2}}

critical f(x)=(3x)/(x-2)critical points

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

Frequently Asked Questions (FAQ)

What is the critical (2ln(x))/x ?
The critical (2ln(x))/x is x=e