Determine the X-Coordinate(s) of Any Relative Extrema and Inflection Points $y = x \ln \frac { x ^ { 5 } } { 6 }$

question 4

Multiple Choice

Determine the x-coordinate(s) of any relative extrema and inflection points of the function $y = x \ln \frac { x ^ { 5 } } { 6 }$

• A)relative minimum: \(x = 6 e ^ { \frac { 1 } { 5 } } ;\) inflection point \(: x = 6 ^ { \frac { - 9 } { 20 } }\)
• B) no relative extrema; inflection point: \(x = 6 ^ { \frac { - 9 } { 20 } }\)
• C) relative minimum: \(x = \frac { ( 6 ) ^ { \frac { 1 } { 5 } } } { e }\); no inflection points
• D)no relative extrema; inflection point: \(x = 6 e ^ { \frac { - 1 } { 5 } }\)
• E) relative maximum: \(x = \left( \frac { 6 } { e } \right) ^ { \frac { 1 } { 5 } }\) inflection point: \(x = 6 e ^ { \frac { - 1 } { 5 } }\)

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A measure of the spread between numbers in a data set, showing the degree of variation from the mean of stock returns.

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Referring to investments or processes that exhibit a wide dispersion of possible outcomes or returns, often indicating higher risk.