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Popular >

f(x)=x^2-x-ln(x)

Solution

f (x) = x^{2} - x - ln (x)

Solution

Domain : x > 0

Range : f (x) \geq 0

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Minimum (1, 0)

+1

Interval Notation

Domain : (0, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{2} - x - ln (x) : x > 0

Range of

x^{2} - x - ln (x) : f (x) \geq 0

Axis interception points of

x^{2} - x - ln (x) :

None

Asymptotes of

x^{2} - x - ln (x) :

Vertical

: x = 0

Extreme Points of

x^{2} - x - ln (x) :

Minimum

(1, 0)

Popular Examples

integral of (15x^4-6x^3+5)/(5x^2)

\int \frac{15 x ^{4} - 6 x ^{3} + 5}{5 x ^{2}} d x

derivative of (cos(x)(2x^3))

\frac{d}{d x} ((cos (x)) (2 x^{3}))

(dy)/(dx)= 1/(x+e^y)

\frac{d y}{d x} = \frac{1}{x + e ^{y}}

derivative of (5x/(ln((4x-1)^2)))

\frac{d}{d x} \frac{5 x}{ln ( ( 4 x - 1 ) ^{2} )}

limit as x approaches infinity of g(x)

x \to \infty lim (g (x))

Frequently Asked Questions (FAQ)

What is the f(x)=x^2-x-ln(x) ?
The f(x)=x^2-x-ln(x) is