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Popular >

f(x)=4x^3ln(x)

Solution

f (x) = 4 x^{3} ln (x)

Solution

Domain : x > 0

Range : f (x) \geq - \frac{4}{3 e}

X Intercepts : (1, 0)

Asymptotes : None

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Interval Notation

Domain : (0, \infty)

Range : [- \frac{4}{3 e}, \infty)

Solution steps

Domain of

4 x^{3} ln (x) : x > 0

Range of

4 x^{3} ln (x) : f (x) \geq - \frac{4}{3 e}

Axis interception points of

4 x^{3} ln (x) :

X Intercepts

: (1, 0)

Asymptotes of

4 x^{3} ln (x) :

None

Extreme Points of

4 x^{3} ln (x) :

Minimum

Popular Examples

limit as x approaches 1 of tan(x/2)

x \to 1 lim (tan (\frac{x}{2}))

y^{''}-y=e^t(t+e^t)

y^{^{''}} - y = e^{t} (t + e^{t})

derivative of 2t(3t^3-7)^4 derivative of

2 t (3 t^{3} - 7)^{4}

limit as x approaches infinity of (ln(x))/(e^x)

x \to \infty lim (\frac{ln ( x )}{e ^{x}})

derivative of (4sqrt(2)/3 x^{3/2})

\frac{d}{d x} (\frac{4 2}{3} x^{\frac{3}{2}})

Frequently Asked Questions (FAQ)

What is the f(x)=4x^3ln(x) ?
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