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Popular >

f(x)=ln(x)-x

Solution

f (x) = ln (x) - x

Solution

Domain : x > 0

Range : f (x) \leq - 1

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Maximum (1, - 1)

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, - 1]

Solution steps

Domain of

ln (x) - x : x > 0

Range of

ln (x) - x : f (x) \leq - 1

Axis interception points of

ln (x) - x :

None

Asymptotes of

ln (x) - x :

Vertical

: x = 0

Extreme Points of

ln (x) - x :

Maximum

(1, - 1)

Popular Examples

limit as x approaches-infinity of 0

x \to - \infty lim (0)

integral of sec^2(x)-1

\int sec^{2} (x) - 1 d x

derivative of y= x/(x+1)derivative of

y = \frac{x}{x + 1}

limit as x approaches-9+of (x+8)/(x+9)

x \to - 9 + lim (\frac{x + 8}{x + 9})

integral of 1/(4x^2+4^2)

\int \frac{1}{4 x ^{2} + 4 ^{2}} d x

Frequently Asked Questions (FAQ)

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