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Popular >

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

Solution

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

Solution

Domain : x > 0

Range : f (x) \leq \frac{1}{e}

X Intercepts : (1, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Maximum (e, \frac{1}{e})

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, \frac{1}{e}]

Solution steps

Domain of

\frac{ln ( x )}{x} : x > 0

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Maximum

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

Popular Examples

critical 3t^2-1/(t^2)critical points

3 t^{2} - \frac{1}{t ^{2}}

inverse of f(x)=x^{3/2}inverse

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

inflection f(x)=x^3-2x^2-4x+3 inflection points

f (x) = x^{3} - 2 x^{2} - 4 x + 3

domain of f(x)= 3/(x-7)domain

f (x) = \frac{3}{x - 7}

slope ofintercept p=15n+300 slope intercept

p = 15 n + 300

Frequently Asked Questions (FAQ)

What is the f(x)=(ln(x))/x ?
The f(x)=(ln(x))/x is