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Popular >

f(x)=x-1-(ln(x))/x

Solution

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

Solution

Domain : x > 0

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = x - 1

Inflection Points : (e^{\frac{3}{2}}, e^{\frac{3}{2}} - 1 - \frac{3}{2 e ^{\frac{3}{2}}})

+1

Interval Notation

Domain : (0, \infty)

Solution steps

Domain of

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

Axis interception points of

x - 1 - \frac{ln ( x )}{x} :

None

Asymptotes of

x - 1 - \frac{ln ( x )}{x} :

Vertical

: x = 0,

Slant

: y = x - 1

Inflection Points of

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

Graph

Popular Examples

y = 2 cot (π x)

y=((x^4-13x^2+36)x)/(x^3+2x^2-9x-18)

y = \frac{( x ^{4} - 13 x ^{2} + 36 ) x}{x ^{3} + 2 x ^{2} - 9 x - 18}

f(x)=arctan(e^{2x})

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p(x)= 1/(x^2+1)

p (x) = \frac{1}{x ^{2} + 1}

Frequently Asked Questions (FAQ)

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