Solve the Problem $$f ( x ) = x ^ { 3 } - 21 x$$

question 182

Multiple Choice

Solve the problem.
-Find the points where the graph of the function have horizontal tangents. $$f ( x ) = x ^ { 3 } - 21 x$$

• A) \(( \sqrt { 7 } , - 42 \sqrt { 7 } )\)
• B) \(( - \sqrt { 7 } , 42 \sqrt { 7 } ) , ( 0,0 ) , ( \sqrt { 7 } , - 42 \sqrt { 7 } )\)
• C) \(( - 7 , - 196 ) , ( \sqrt { 7 } , 196 )\)
• D) \(( - \sqrt { 7 } , 14 \sqrt { 7 } ) , ( \sqrt { 7 } , - 14 \sqrt { 7 } )\)

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Definitions:

Cohabitation Effect

A theory that suggests couples who live together before marriage are more likely to experience marital difficulties and divorce.

Domestic Violence

A pattern of behavior in any relationship that is used to gain or maintain power and control over an intimate partner.

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Pertaining to money or how money is managed, often used in the context of managing expenses, income, or investments.

Selection Effect

The bias introduced in analysis results due to the way in which subjects or participants are selected or self-select into a study.