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Popular >

f(x)=(1-2ln(x))/(x^3)

Solution

f (x) = \frac{1 - 2 ln ( x )}{x ^{3}}

Solution

Domain : x > 0

Range : f (x) \geq - \frac{2}{3 e ^{\frac{5}{2}}}

X Intercepts : (e, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Minimum (e^{\frac{5}{6}}, - \frac{2}{3 e ^{\frac{5}{2}}})

+1

Interval Notation

Domain : (0, \infty)

Range : [- \frac{2}{3 e ^{\frac{5}{2}}}, \infty)

Solution steps

Domain of

\frac{1 - 2 ln ( x )}{x ^{3}} : x > 0

Range of

\frac{1 - 2 ln ( x )}{x ^{3}} : f (x) \geq - \frac{2}{3 e ^{\frac{5}{2}}}

Axis interception points of

\frac{1 - 2 ln ( x )}{x ^{3}} :

X Intercepts

: (e, 0)

Asymptotes of

\frac{1 - 2 ln ( x )}{x ^{3}} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{1 - 2 ln ( x )}{x ^{3}} :

Minimum

(e^{\frac{5}{6}}, - \frac{2}{3 e ^{\frac{5}{2}}})

Popular Examples

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x = y^{4}, y = 2 - x, y = 0

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\int sec^{3} (t) d t

limit as x approaches 2 of 3x-2

x \to 2 lim (3 x - 2)

Frequently Asked Questions (FAQ)

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