Find the Critical Point(s) of the Function

question 45

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

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Definitions:

Pietism

A movement within Lutheranism that emerged in the 17th century, focusing on personal faith, the need for a born-again experience, and the importance of living a Christian life rather than merely adhering to doctrine.

Slaves

People who are legally owned by others and forced to work without pay, historically a widespread practice across many societies and cultures.

Rice Plantations

Large agricultural estates specifically devoted to the cultivation of rice, historically significant in the southern United States during the colonial and antebellum periods.

Irish Immigrants

Individuals from Ireland who moved to another country, especially to the United States during the 19th and early 20th centuries, often escaping famine and seeking better economic opportunities.