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Popular Functions >

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})

Graph

Popular Examples

domain of f(x)=-sqrt(36-x^2)

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parity f(x)=x^3-2x

asymptotes of f(x)=-4/(x+5)

inverse of f(x)=((x+3))/((x-5))

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)