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) \(( - \sqrt { 7 } , 14 \sqrt { 7 } ) , ( \sqrt { 7 } , - 14 \sqrt { 7 } )\)

---

Definitions:

Work Force

The labor pool in employment; it comprises individuals engaged in or available for work, either in a country or in a specific sector.

Population Decline

A decrease in the number of individuals in a species or population, often due to environmental pressures, loss of habitat, or human activities.

Medical Services

Professional services provided by individuals in the healthcare industry to treat and maintain patients' physical and mental health.

Labour Shortages

A situation in which there are insufficient workers available to fill the existing job vacancies in certain industries or regions.