Find the Critical Point(s) of the Function

question 151

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)(0, 0); saddle point: f(0, 0) = - 5
• B)(1, 0); relative maximum value: f(1, 0) = 5
• C)(0, - 1); relative minimum value: f(0, - 1) = - 6
• D)there are no critical points

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Definitions:

Cochlear Duct

A spiral-shaped cavity in the inner ear that plays a crucial role in hearing by transforming sound vibrations into nerve impulses.

Myringotome

A surgical instrument used for making an incision in the eardrum, typically to relieve pressure or allow drainage.

Myringotomy

A surgical procedure that involves making a small incision in the eardrum to relieve pressure or drain fluid.

Myringoplasty

Surgical repair of a hole or tear in the eardrum (tympanic membrane) to improve hearing and prevent water from entering the middle ear.