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Popular >

extreme x/(ln(x))

Solution

extreme points

\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

extreme f(x)=x^3-3xy-y^2 extreme points

f (x) = x^{3} - 3 x y - y^{2}

extreme f(x)=x^2-4x+2 extreme points

f (x) = x^{2} - 4 x + 2

extreme x^2-4x+5 extreme points

x^{2} - 4 x + 5

extreme f(x)=e^{-3.5x^2}extreme points

f (x) = e^{- 3.5 x^{2}}

extreme f(x,y)=8-2x^2-2y^2 extreme points

f (x, y) = 8 - 2 x^{2} - 2 y^{2}

Frequently Asked Questions (FAQ)

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