Find the Critical Point(s) of the Function

question 161

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

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Definitions:

Self-Designated Method

A technique or approach where individuals select or designate themselves for participation in a process or study.

Sociometry

A quantitative method for measuring social relationships, often used to explore the structure of groups and to analyze choices or preferences within those groups.

Homophily

The tendency for people to form connections with others who are similar to them in characteristics such as beliefs, values, and social status.

Social Status

The position or rank of a person or group within the social hierarchy, often influenced by factors like wealth, occupation, and education.