Find the Critical Point(s) of the Function

question 130

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:

Visual-Spatial Functions

Cognitive processes involved in the interpretation, manipulation, and utilization of visual information to understand spatial relationships.

Intellectual Growth

The development and enhancement of mental faculties and capabilities such as reasoning, understanding, and problem-solving.

Cognitive Development

Refers to the progressive and ongoing growth of perception, memory, imagination, and other mental functions as a person ages.

Pragmatics

The practical aspects of communication, such as adaptation of language to fit the social situation.