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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