Find All Relative Extrema of the Function $f ( x ) = 4 x ^ { 4 } - 16 x ^ { 3 } + 5$

question 1

Multiple Choice

Find all relative extrema of the function $f ( x ) = 4 x ^ { 4 } - 16 x ^ { 3 } + 5$ Use the Second Derivative Test where applicable.

• A)relative max: \(f ( 6 ) = 1733\) ; no relative min
• B)relative max: \(f ( 3 ) = 103\) ; no relative min
• C)no relative max or min
• D)relative min: \(f ( 6 ) = 1733\) ; no relative max
• E)relative min: \(f ( 3 ) = - 103\) ; no relative max

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Cultural Background

The cultural experiences, traditions, languages, and values inherited from one's family or society that influence one's worldview and behavior.

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A category of people who identify with each other based on common ancestral, social, cultural, or national experiences.

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Relational

Pertaining to the way in which two or more concepts, objects, or people are connected; often used within contexts involving interpersonal relationships.