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Popular Calculus >

f(x)=4x^2ln(4x)

Solution

f (x) = 4 x^{2} ln (4 x)

Solution

Domain : x > 0

Range : f (x) \geq - \frac{1}{8 e}

X Intercepts : (\frac{1}{4}, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{1}{4 e}, - \frac{1}{8 e})

+1

Interval Notation

Domain : (0, \infty)

Solution steps

Domain of

4 x^{2} ln (4 x) : x > 0

Range of

4 x^{2} ln (4 x) : f (x) \geq - \frac{1}{8 e}

Axis interception points of

4 x^{2} ln (4 x) :

X Intercepts

: (\frac{1}{4}, 0)

Asymptotes of

4 x^{2} ln (4 x) :

None

Extreme Points of

4 x^{2} ln (4 x) :

Minimum

(\frac{1}{4 e}, - \frac{1}{8 e})

Graph

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Frequently Asked Questions (FAQ)

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