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Popular >

f(x)=(x^3ln(x))/3-(x^3)/9

Solution

f (x) = \frac{x ^{3} ln ( x )}{3} - \frac{x ^{3}}{9}

Solution

Domain : x > 0

Range : f (x) \geq - \frac{1}{9}

Asymptotes : None

Extreme Points : Minimum (1, - \frac{1}{9})

+1

Interval Notation

Domain : (0, \infty)

Range : [- \frac{1}{9}, \infty)

Solution steps

Domain of

\frac{x ^{3} ln ( x )}{3} - \frac{x ^{3}}{9} : x > 0

Range of

\frac{x ^{3} ln ( x )}{3} - \frac{x ^{3}}{9} : f (x) \geq - \frac{1}{9}

Axis interception points of

\frac{x ^{3} ln ( x )}{3} - \frac{x ^{3}}{9} :

X Intercepts

Asymptotes of

\frac{x ^{3} ln ( x )}{3} - \frac{x ^{3}}{9} :

None

Extreme Points of

\frac{x ^{3} ln ( x )}{3} - \frac{x ^{3}}{9} :

Minimum

(1, - \frac{1}{9})

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Frequently Asked Questions (FAQ)

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