en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

f(x)=(ln(x))/(x^2)

Solution

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

Solution

Domain : x > 0

Range : f (x) \leq \frac{1}{2 e}

X Intercepts : (1, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Maximum (e, \frac{1}{2 e})

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, \frac{1}{2 e}]

Solution steps

Domain of

\frac{ln ( x )}{x ^{2}} : x > 0

Range of

\frac{ln ( x )}{x ^{2}} : f (x) \leq \frac{1}{2 e}

Axis interception points of

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

X Intercepts

: (1, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(e, \frac{1}{2 e})

Graph

Popular Examples

integral of 27arctan(sqrt(x))

tangent of y=sin(2x)+sin^2(2x),(0,0)

derivative of y=arccos(sqrt(x))

integral of 5te^{5t}

integral of (e^{5x})/(e^{5x)+9}

Frequently Asked Questions (FAQ)

What is the f(x)=(ln(x))/(x^2) ?
The f(x)=(ln(x))/(x^2) is