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Popular >

y=(ln(x))/(sqrt(x))

Solution

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

Solution

Domain : x > 0

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

X Intercepts : (1, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

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

+1

Interval Notation

Domain : (0, \infty)

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

Solution steps

Domain of

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

Range of

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

Popular Examples

f (x) = 3 x^{2} - 5 x + 8

f (x) = 3 x^{2} - 5 x + 5

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

f (x) = - 1 0^{x}

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

Frequently Asked Questions (FAQ)

What is the y=(ln(x))/(sqrt(x)) ?
The y=(ln(x))/(sqrt(x)) is