Find the Critical Point(s) of the Function

question 202

Short Answer

Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.
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Find the critical point(s) of the function.
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Find the point(s) of maximum.
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Find the point(s) of minimum.
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Find the relative extrema of the function.

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Definitions:

Sleeping Position

The posture in which a person sleeps, which can impact physical health and sleep quality.

Cephalocaudal Principle

Principle that development proceeds in a head-to-tail direction, that is, that upper parts of the body develop before lower parts of the trunk.

Proximodistal Principle

Principle that development proceeds from within to without, that is, that parts of the body near the center develop before the extremities.

Proximodistal

Refers to the pattern of development that moves from the center or core of the body outward towards the extremities.