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 \(x = 6 e ^ { \frac { - 11 } { 30 } }\)

Understand the role of genetics in determining sex and its implications for prenatal development.

Comprehend the significance of environmental influences on physical development.

Identify the scope of developmental psychology, including biological, psychological, and behavioral changes over the lifespan.

Analyze the concepts of longitudinal, cross-sectional, and sequential research designs and their application in developmental studies.

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