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Popular >

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)

+1

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)

Popular Examples

derivative of x+3e^{-x}

\frac{d}{d x} (x + 3 e^{- x})

(\partial)/(\partial y)(5x^{y/z})

\frac{\partial}{\partial y} (5 x^{\frac{y}{z}})

integral of (x^3+3x+4)/(x^4+16x^2)

\int \frac{x ^{3} + 3 x + 4}{x ^{4} + 16 x ^{2}} d x

derivative of (x^2+1/(x-3))

\frac{d}{d x} (\frac{x ^{2} + 1}{x - 3})

limit as x approaches-8 of-3/7 x+10/11

x \to - 8 lim (- \frac{3}{7} x + \frac{10}{11})

Frequently Asked Questions (FAQ)

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