Find the Critical Point(s) of the Function

question 128

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) (4, 1) is the critical point, the function has neither a relative maximum nor a relative minimum at this point
• B) (4, 1) is the critical point, it is impossible to determine the relative extrema of the function
• C) (4, 1) is the point of maximum, 12 is the relative maximum
• D) (4, 1) is the point of minimum, 12 is the relative minimum
• E) no critical points

---

Definitions:

Geographic Component

Elements related to or determined by the physical location, features, and spatial relationships on Earth.

Interpersonal Relations

The interactions and associations between two or more people, including relationships of all forms.

Equity Theory

A concept in social psychology that posits individuals assess their relationships by analyzing the balance between their inputs (such as effort, time, money) and the outcomes (rewards, recognition) they receive, compared to others.

Tragedy of the Commons

Describes a situation where individual users, acting independently according to their own self-interest, deplete or spoil shared resources, leading to long-term consequences for the whole group.