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Popular Calculus >

f(x)=8ln(x)-x^2

Solution

f (x) = 8 ln (x) - x^{2}

Solution

Domain : x > 0

Range : f (x) \leq 8 ln (2) - 4

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Maximum (2, 8 ln (2) - 4)

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Interval Notation

Domain : (0, \infty)

Range : (- \infty, 8 ln (2) - 4]

Solution steps

Domain of

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

Range of

8 ln (x) - x^{2} : f (x) \leq 8 ln (2) - 4

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0

Extreme Points of

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

Maximum

(2, 8 ln (2) - 4)

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=8ln(x)-x^2 ?
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