Locate Any Relative Extrema and Inflection Points of the Function $y = \frac { x ^ { 15 } } { 15 } - \ln x$

question 83

Multiple Choice

Locate any relative extrema and inflection points of the function $y = \frac { x ^ { 15 } } { 15 } - \ln x$ . Use a graphing utility to confirm your results.

• A) relative minimum value: \(\left( 1 , \frac { 1 } { 15 } \right)\); no inflection points
• B) relative minimum value: \(( 1,15 )\); inflection point: \(( 0,0 )\)
• C) relative maximum value: \(( 1,15 )\); inflection point: \(( 0,0 )\)
• D) relative minimum value: \(( 1,15 )\); no inflection points
• E) relative maximum value: \(\left( 1 , \frac { 1 } { 15 } \right)\); no inflection points

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.

---

Definitions:

Oligopoly

A market structure characterized by a small number of large firms dominating an industry, often resulting in limited competition.

Large Producers

Entities that produce goods or services at a high volume, often dominating the market or industry sector they operate within.

Pure Competition

A term synonymous with purely competitive industry, denoting a market scenario where numerous firms offer identical products, ensuring no singular entity can control the market price.

Monopolistic Competition

A market structure where many firms sell similar but not identical products, allowing for some degree of market power.