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Popular >

f(x)=(ln^3(x))/x

Solution

f (x) = \frac{ln ^{3} ( x )}{x}

Solution

Domain : x > 0

Range : f (x) \leq \frac{27}{e ^{3}}

X Intercepts : (1, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Saddle (1, 0), Maximum (e^{3}, \frac{27}{e ^{3}})

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, \frac{27}{e ^{3}}]

Solution steps

Domain of

\frac{ln ^{3} ( x )}{x} : x > 0

Range of

\frac{ln ^{3} ( x )}{x} : f (x) \leq \frac{27}{e ^{3}}

Axis interception points of

\frac{ln ^{3} ( x )}{x} :

X Intercepts

: (1, 0)

Asymptotes of

\frac{ln ^{3} ( x )}{x} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{ln ^{3} ( x )}{x} :

Saddle

(1, 0),

Maximum

(e^{3}, \frac{27}{e ^{3}})

Popular Examples

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f(x)=6x^2-21x-92

f (x) = 6 x^{2} - 21 x - 92

y = 1 + 3 cos (x^{2}) x

f(x)=2sqrt(x)-6

f (x) = 2 x - 6

f (a) = (a)^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

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