Find the Critical Point(s) of the Function

question 153

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) (1, 0); relative maximum value: f(1, 0) = 2
• B) (0, 0); relative minimum value: f(0, 0) = 5
• C) (0, - 1); saddle point: f(0, - 1) = - 5
• D) there are no critical points

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Definitions:

Corporate Form

A legal structure used by organizations that enables them to be recognized as separate legal entities from their owners, providing limited liability protection.

Partnership Form

A type of business entity where two or more individuals share ownership and the responsibilities of running the business.

Limited Liability

A legal structure that limits the financial liability of the owners of a business to the amount of money they have invested in the business.

Continuous Existence

A characteristic of corporations that allows them to outlast the lives of their individual members or owners, enabling ongoing operations over time.