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Popular Calculus >

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)

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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)

Graph

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d er i v a t i v e y = x^{3} - 3 x

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\frac{d}{d x} (\frac{1 + sin ( x )}{1 + cos ( x )})

Frequently Asked Questions (FAQ)

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