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Popular >

f(x)=-x+(ln(x))/x

Solution

f (x) = - x + \frac{ln ( x )}{x}

Solution

Domain : x > 0

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = - x

Inflection Points : (e^{\frac{3}{2}}, - e^{\frac{3}{2}} + \frac{3}{2 e ^{\frac{3}{2}}})

+1

Interval Notation

Domain : (0, \infty)

Solution steps

Domain of

- x + \frac{ln ( x )}{x} : x > 0

Axis interception points of

- x + \frac{ln ( x )}{x} :

None

Asymptotes of

- x + \frac{ln ( x )}{x} :

Vertical

: x = 0,

Slant

: y = - x

Inflection Points of

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

Graph

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Frequently Asked Questions (FAQ)

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