Find $y ^ { \prime }$ $y = \left[ \ln \left( x ^ { 9 } + 5 \right) \right] ^ { 3 }$

question 34

Multiple Choice

Find $y ^ { \prime }$ . $y = \left[ \ln \left( x ^ { 9 } + 5 \right) \right] ^ { 3 }$

• A) \(\frac { 27 x ^ { 8 } \ln \left( x ^ { 9 } + 5 \right) ^ { 2 } } { \left( x ^ { 9 } + 5 \right) }\)
• B) \(\frac { 3 x ^ { 7 } \ln \left( x ^ { 9 } + 5 \right) ^ { 2 } } { \left( x ^ { 9 } + 5 \right) }\)
• C) \(- \frac { 3 x ^ { 8 } \ln \left( x ^ { 9 } + 5 \right) ^ { 2 } } { \left( x ^ { 9 } + 5 \right) }\)
• D) \(- \frac { 9 x ^ { 8 } \ln \left( x ^ { 9 } + 5 \right) ^ { 2 } } { \left( x ^ { 9 } + 5 \right) }\)
• E) \(- \frac { 54 x ^ { 7 } \ln \left( x ^ { 9 } + 5 \right) ^ { 2 } } { \left( x ^ { 9 } + 5 \right) }\)

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Definitions:

Job Simplification

The process of breaking down tasks into simpler components to improve efficiency and reduce complexity in the workplace.

Task Variety

The degree to which a job involves different activities and skills, enriching the work experience and potentially increasing job satisfaction.

Job Enlargement

The process of increasing the variety and number of tasks that an employee performs within their job role.

Separate Workers

The practice of segregating employees based on certain criteria, which can potentially lead to issues such as discrimination.