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Popular >

extreme f(x)=(ln(x))/x

Solution

extreme points

f (x) = \frac{ln ( x )}{x}

Solution

Maximum (e, \frac{1}{e})

Solution steps

f^{'} (x) = \frac{1 - ln ( x )}{x ^{2}}

Find intervals:

Increasing

: 0 < x < e,

Decreasing

: e < x < \infty

Plug

x = e

into

\frac{ln ( x )}{x} : \frac{1}{e}

Maximum (e, \frac{1}{e})

Popular Examples

inverse of f(x)=((x+3))/(x-4)inverse

f (x) = \frac{( x + 3 )}{x - 4}

domain of f(x)=sin(2x)domain

f (x) = sin (2 x)

slope ofintercept 4x+3y=9 slope intercept

4 x + 3 y = 9

inverse of y^2 inverse

y^{2}

domain of 1/(x^2+2x+1)domain

\frac{1}{x ^{2} + 2 x + 1}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(ln(x))/x ?
The extreme f(x)=(ln(x))/x is Maximum(e, 1/e)