A Function Is Given $U ( x ) = 2 \left( x ^ { 3 } - x \right)$

question 73

Essay

A function is given.
(a) Find all the local maximum and minimum values of the function and the value of x at which each occurs.
(b) Find the intervals on which the function is increasing and on which the function is decreasing. State all answers correct to two decimal places.
$U ( x ) = 2 \left( x ^ { 3 } - x \right)$

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Definitions:

Integrative Approach

Combining theories and practices from different methodologies to enhance the effectiveness of treatment or understanding.

Maternal

Related to motherhood or pertaining to a mother figure, including the period of pregnancy and childbirth.

Atypical Synthesis

The process of combining elements or ideas in a way that is not usual or traditionally expected, often leading to innovative outcomes.

Neurobiological Correlates

Neurobiological correlates refer to the relationships between the structure, function, or chemistry of the nervous system and various mental states, behaviors, or psychiatric conditions.