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Popular Functions >

f(x)=(1+ln(x))/(x^2)

Solution

f (x) = \frac{1 + ln ( x )}{x ^{2}}

Solution

Domain : x > 0

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

X Intercepts : (\frac{1}{e}, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

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

+1

Interval Notation

Domain : (0, \infty)

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

Solution steps

Domain of

\frac{1 + ln ( x )}{x ^{2}} : x > 0

Range of

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

Axis interception points of

\frac{1 + ln ( x )}{x ^{2}} :

X Intercepts

: (\frac{1}{e}, 0)

Asymptotes of

\frac{1 + ln ( x )}{x ^{2}} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{1 + ln ( x )}{x ^{2}} :

Maximum

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

Graph

Popular Examples

f(x)=(3x^4+6x^2-1)/(x^3)

f(x)=log_{1/9}(x)

y=log_{3}(2x-3)

domain of (sqrt(x^2-2x+1))/(x-1),x<1

Frequently Asked Questions (FAQ)

What is the f(x)=(1+ln(x))/(x^2) ?
The f(x)=(1+ln(x))/(x^2) is