Using the Derivative of F(x) Given Below, Determine the Intervals $$f ^ { \prime } ( x ) = x ^ { 1 / 3 } ( x - 6 )$$

question 237

Multiple Choice

Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or decreasing.
- $$f ^ { \prime } ( x ) = x ^ { 1 / 3 } ( x - 6 )$$

• A) Decreasing on \(( - \infty , 0 ) \cup ( 6 , \infty )\); increasing on \(( 0,6 )\)
• B) Decreasing on \(( 0,6 )\); increasing on \(( - \infty , 0 ) \cup ( 6 , \infty )\)
• C) Decreasing on \(( 0,6 )\); increasing on \(( 6 , \infty )\)
• D) Increasing on \(( 0 , \infty )\)

Recognize the importance of environmental factors and community infrastructure in disease prevention.

Understand the historical development of public health initiatives and their impact on community health.

Analyze the role of government and non-governmental organizations in the advancement of public health.

Identify key figures and their contributions to public health and nursing.

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Definitions:

Fads

Temporary, highly popular trends or behaviors that spread quickly and are followed with enthusiasm, but fade away just as quickly.

Demographic Shifts

Changes in the characteristics of a population over time, which can include age, ethnicity, gender distribution, and so forth.

Social Change

The transformation of culture, behavior, social institutions, and social structure over time, often seen as a necessary aspect of societal progress or development.

Emergent Norm Theory

A sociological hypothesis that posits individuals in a crowd behave not out of pre-existing norms, but from norms that emerge and are accepted within the crowd during the event.