en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(t)=(ln(t))/t

Solution

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

Solution

Domain : t > 0

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

X Intercepts : (1, 0)

Asymptotes : Vertical t = 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 ( t )}{t} : t > 0

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0)

Asymptotes of

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

Vertical

: t = 0,

Horizontal

: y = 0

Extreme Points of

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

Maximum

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

Popular Examples

f(x)=2x^2+4x-16

f (x) = 2 x^{2} + 4 x - 16

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

f(x)=-x^2+12x-36

f (x) = - x^{2} + 12 x - 36

f(x)=(x^2-9)/(x^2-7x+12)

f (x) = \frac{x ^{2} - 9}{x ^{2} - 7 x + 12}

f(n)=28n^4+16n^3-80n^2

f (n) = 28 n^{4} + 16 n^{3} - 80 n^{2}

Frequently Asked Questions (FAQ)

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