Locate Any Relative Extrema and Inflection Points of the Function $y = x ^ { 6 } \ln \frac { x } { 6 }$

question 71

Multiple Choice

Locate any relative extrema and inflection points of the function $y = x ^ { 6 } \ln \frac { x } { 6 }$ .

• A)relative minimum at \(x = 6 e ^ { \frac { - 1 } { 6 } }\) ; inflection point at \(x = 6 e ^ { \frac { - 11 } { 30 } }\)
• B)relative minimum at \(x = 6 e ^ { \frac { - 1 } { 6 } }\) ; no inflection points
• C)no relative maximum or minimum; inflection point at \(x = 6 e ^ { \frac { - 1 } { 6 } }\)
• D)no relative extrema or inflection points.
• E)relative maximum at \(x = 6 e ^ { \frac { - 1 } { 6 } }\) ; inflection point at \(x = 6 e ^ { \frac { - 11 } { 30 } }\)

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360-Day Year

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