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

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

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

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})

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})

\int 27 arctan (x) d x

y = sin (2 x) + sin^{2} (2 x), (0, 0)

\frac{\partial}{\partial x} (10 x + y)

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

(x^{2} + 3 x - 1) (2 - x)