Find the Critical Point(s) of the Function

question 49

Multiple Choice

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) (1, 5) and (2, 5); saddle point: f(1, 5) = - 46; relative minimum value: f(2, 5) = - 47
• B) (2, 5); relative maximum value: f(2, 5) = 47
• C) (1, 5); saddle point: f(1, 5) = - 46
• D) (1, 5) and (2, 5); relative maximum value: f(1, 5) = - 47; relative minimum value: f(2, 5) = 46
• E) there are no critical points

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Definitions:

Olfaction

The sense of smell, a complex chemical sensing system that is essential for detecting odors in the environment.

Skin Senses

The sensations of touch, pressure, temperature, and pain.

Pressure

A physical force exerted on or against an object by something in contact with it, or the stress or urgency of matters demanding attention or action.

Taste Receptor Cells

Specialized cells located on the taste buds of the tongue, responsible for detecting taste stimuli.