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Popular >

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

Solution

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

Range of

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

Axis interception points of

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

X Intercepts

: (e, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Minimum

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

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Frequently Asked Questions (FAQ)

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