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Popular >

extreme f(x)=(1/x)ln(x)

Solution

extreme points

f (x) = (\frac{1}{x}) ln (x)

Solution

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

Solution steps

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

Find intervals:

Increasing

: 0 < x < e,

Decreasing

: e < x < \infty

Plug

x = e

into

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

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

Popular Examples

extreme f(x)=-8sin(4x)extreme points

f (x) = - 8 sin (4 x)

extreme f(x)=16-4x-4/x ,[0,infinity ]extreme points

f (x) = 16 - 4 x - \frac{4}{x}, [0, \infty]

extreme f(x)=-7x-6 extreme points

f (x) = - 7 x - 6

extreme f(x)=(x^2)/(1-x^2)extreme points

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

extreme f(x)=-6x^2+84x+1000 extreme points

f (x) = - 6 x^{2} + 84 x + 1000

Frequently Asked Questions (FAQ)

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