en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

Domain : x > 0

Range : f (x) \geq - \frac{1}{3}

Asymptotes : None

Extreme Points : Minimum (1, - \frac{1}{3})

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

Asymptotes of

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

None

Extreme Points of

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

Minimum

(1, - \frac{1}{3})

Popular Examples

f(v)=sin(2arcsin(4v))

f (v) = sin (2 arcsin (4 v))

f(x)= 1/2 x+3/5

f (x) = \frac{1}{2} x + \frac{3}{5}

f(x)=(sqrt(2+x))/(2-x)

f (x) = \frac{2 + x}{2 - x}

f (x) = x^{3} + 9 x^{2}

y=(x^2)/((x-2)^2)

y = \frac{x ^{2}}{( x - 2 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the f(x)=x^3ln(x)-(x^3)/3 ?
The f(x)=x^3ln(x)-(x^3)/3 is