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Popular >

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

Solution

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

Solution

Domain : x > 0

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

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : None

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0

Extreme Points of

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

None

Popular Examples

sum from n=1 to infinity of (7^n)/(n!)

n = 1 \sum \infty \frac{7 ^{n}}{n !}

tangent of f(x)=pi(10-pi/3)x^2,\at x=3 tangent of

f (x) = π (10 - \frac{π}{3}) x^{2}, at x = 3

derivative of (18/(x^3))

\frac{d}{d x} (\frac{18}{x ^{3}})

limit as x approaches 0+of sqrt(x)*ln(x)

x \to 0 + lim (x \cdot ln (x))

integral from 1 to 12 of 8x^{-2}

\int_{1}^{12} 8 x^{- 2} d x

Frequently Asked Questions (FAQ)

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