Find the Critical Point(s) of the Function

question 34

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) and ; saddle point: ; relative maximum value: ​
• B) and ; relative minimum: ; relative maximum value:
• C) and ; saddle point: ; relative minimum value: ​
• D) there are no critical points

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Definitions:

Evolutionary Perspective

A theoretical approach in various disciplines that examines the evolutionary basis of behaviors and traits, arguing that many human psychological processes and physical features have evolved to solve recurrent problems in human ancestral environments.

Evolutionary Fitness

A measure of an organism's ability to survive and reproduce, thus passing its genes to the next generation.

General Mental Ability

Refers to the overall capacity of an individual to understand complex ideas, adapt effectively to the environment, learn from experience, engage in various forms of reasoning, and overcome obstacles through mental effort.

Emotional Intelligence

The ability to understand and manage one's own emotions, and to recognize and influence the emotions of others.