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Popular >

inflection x/(ln(x))

Solution

inflection points

\frac{x}{ln ( x )}

Solution

(e^{2}, \frac{e ^{2}}{2})

Solution steps

f^{''} (x) = \frac{- ln ( x ) + 2}{x ln ^{3} ( x )}

Find intervals:

Concave Downward

: 0 < x < 1,

Concave Upward

: 1 < x < e^{2},

Concave Downward

: e^{2} < x < \infty

Plug

x = e^{2}

into

\frac{x}{ln ( x )} : \frac{e ^{2}}{2}

(e^{2}, \frac{e ^{2}}{2})

Popular Examples

range of sqrt(x^2+25)range

x^{2} + 25

inverse of f(x)=(5x-15)/2 inverse

f (x) = \frac{5 x - 15}{2}

domain of f(x)= x/(2x+3)domain

f (x) = \frac{x}{2 x + 3}

inverse of f(x)=x-2/3 inverse

f (x) = x - \frac{2}{3}

extreme y=-x^2+12x-16 extreme points

y = - x^{2} + 12 x - 16

Frequently Asked Questions (FAQ)

What is the inflection x/(ln(x)) ?
The inflection x/(ln(x)) is (e^2,(e^2)/2)