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Popular >

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

Solution

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

Solution

Domain : x > 0

Range : - \infty < f (x) < \infty

X Intercepts : (\frac{1}{W _{0} ( 1 )}, 0)

Asymptotes : Vertical x = 0

Extreme Points : None

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

ln (x) - \frac{1}{x} : - \infty < f (x) < \infty

Axis interception points of

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

X Intercepts

: (\frac{1}{W _{0} ( 1 )}, 0)

Asymptotes of

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

Vertical

: x = 0

Extreme Points of

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

None

Popular Examples

derivative of x^3(1-x)^{100}+x^4-5pi derivative of

x^{3} (1 - x)^{100} + x^{4} - 5 π

derivative of 3x^3-64x

\frac{d}{d x} (3 x^{3} - 64 x)

limit as x approaches 1+of tan((pix)/2)

x \to 1 + lim (tan (\frac{π x}{2}))

limit as x approaches 1/2 of x

x \to \frac{1}{2} lim (x)

derivative of-x*ln(x)

\frac{d}{d x} (- x \cdot ln (x))

Frequently Asked Questions (FAQ)

What is the f(x)=ln(x)-1/x ?
The f(x)=ln(x)-1/x is