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Popular >

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

Solution

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

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 )}{2 x} : x > 0

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Maximum

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

Popular Examples

integral of x^5sqrt(x^3+6)

\int x^{5} x^{3} + 6 d x

(\partial)/(\partial x)(yz-xw)

\frac{\partial}{\partial x} (yz - x w)

derivative of \sqrt[3]{x+7}

x y^{^{''}} + 5 y^{^{'}} = 0

(\partial)/(\partial y)(5xy^3)

\frac{\partial}{\partial y} (5 x y^{3})

Frequently Asked Questions (FAQ)

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