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Find the Critical Point(s) of the Function

question 134

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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. ​ 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. ​   ​ A)    ,   are the critical points, the function has neither a relative maximum nor a relative minimum B)    is the critical point, the function has neither a relative maximum nor a relative minimum C)    is the critical point, the function has neither a relative maximum nor a relative minimum D)    ,   are the critical points, the function has neither a relative maximum nor a relative minimum E)  no critical points


Definitions:

Thoracic Vertebra

One of the twelve vertebrae located in the middle section of the vertebral column, each providing attachment for a pair of ribs.

Manubrium

The broad, upper part of the sternum (breastbone), with which the clavicles (collarbones) and first ribs articulate.

Internal Acoustic Meatus

An opening in the temporal bone of the skull that transmits nerves for hearing and balance from the inner ear to the brain.

Temporal

Relates to the aspect of time or the timing of events, as well as to the temporal bone area adjacent to the temples on the human skull.

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