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

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