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Popular >

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

Solution

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

Solution

Domain : x > 0

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

X Intercepts : (\frac{1}{2}, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

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

+1

Interval Notation

Domain : (0, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{1}{2}, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Maximum

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

Popular Examples

y=2log_{2}(x^{3/2})

y = 2 lo g_{2} (x^{\frac{3}{2}})

y=-3x^2+197x-1279

y = - 3 x^{2} + 197 x - 1279

f (t) = sin^{2} (5 t)

y=-5x^3-5x^2+30x

y = - 5 x^{3} - 5 x^{2} + 30 x

f(x)=sqrt(-2x-1)

f (x) = - 2 x - 1

Frequently Asked Questions (FAQ)

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