Find the Critical Point(s) of the Function

question 41

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); relative minimum value: f(0, 0) = 4
• B) (0, 0); saddle point: f(4, 0) = 2
• C) (0, 0); relative maximum value: f(0, 0) = 2

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Definitions:

Dynamic Process

This refers to a constantly evolving and changing procedure or series of actions, highlighting the fluid nature of the concept it describes.

Availability Of Information Bias

The cognitive bias that involves over-relying on the information that is most readily available, rather than considering all relevant data.

Vivid

Characterized by strong and clear images or sensations that are easy to recall and describe.

Evaluating Events

The process of assessing or making judgments about events based on evidence, outcomes, or criteria.