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Popular >

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

Solution

extreme points

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

Solution

Minimum (e, e)

Solution steps

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

Find intervals:

Decreasing

: 0 < x < 1,

Decreasing

: 1 < x < e,

Increasing

: e < x < \infty

Plug

x = e

into

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

Minimum (e, e)

Popular Examples

domain of 4/(t^2-9)domain

\frac{4}{t ^{2} - 9}

parity f(x)=5x^4-3 parity

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

domain of f(x)=-(x-5)^2-9 domain

f (x) = - (x - 5)^{2} - 9

domain of ln(x-3)domain

ln (x - 3)

inverse of y=-5/8 x+10 inverse

y = - \frac{5}{8} x + 10

Frequently Asked Questions (FAQ)

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