Locate Any Relative Extrema and Inflection Points of the Function $y = x \ln \frac { x ^ { 9 } } { 8 }$

question 59

Multiple Choice

Locate any relative extrema and inflection points of the function $y = x \ln \frac { x ^ { 9 } } { 8 }$ .

• A)no relative extrema; inflection point at \(x = 8 e ^ { \frac { - 17 } { 72 } }\)
• B)relative maximum at \(x = \left( \frac { 8 } { e } \right) ^ { \frac { 1 } { 9 } }\) ; inflection point at \(x = 8 e ^ { \frac { - 1 } { 9 } }\)
• C)relative minimum at \(x = 8 e ^ { \frac { 1 } { 9 } }\) ; inflection point at \(x = 8 e ^ { \frac { - 17 } { 72 } }\)
• D)no relative extrema; inflection point at \(x = 8 e ^ { \frac { - 17 } { 72 } }\)
• E)relative minimum at \(x = \left( \frac { 8 } { e } \right) ^ { \frac { 1 } { 9 } }\) ; no inflection points

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