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Find yy ^ { \prime } y=[ln(x9+5)]3y = \left[ \ln \left( x ^ { 9 } + 5 \right) \right] ^ { 3 }

Question 34

Multiple Choice

Find yy ^ { \prime } . y=[ln(x9+5) ]3y = \left[ \ln \left( x ^ { 9 } + 5 \right) \right] ^ { 3 }


A) 27x8ln(x9+5) 2(x9+5) \frac { 27 x ^ { 8 } \ln \left( x ^ { 9 } + 5 \right) ^ { 2 } } { \left( x ^ { 9 } + 5 \right) }
B) 3x7ln(x9+5) 2(x9+5) \frac { 3 x ^ { 7 } \ln \left( x ^ { 9 } + 5 \right) ^ { 2 } } { \left( x ^ { 9 } + 5 \right) }
C) 3x8ln(x9+5) 2(x9+5) - \frac { 3 x ^ { 8 } \ln \left( x ^ { 9 } + 5 \right) ^ { 2 } } { \left( x ^ { 9 } + 5 \right) }
D) 9x8ln(x9+5) 2(x9+5) - \frac { 9 x ^ { 8 } \ln \left( x ^ { 9 } + 5 \right) ^ { 2 } } { \left( x ^ { 9 } + 5 \right) }
E) 54x7ln(x9+5) 2(x9+5) - \frac { 54 x ^ { 7 } \ln \left( x ^ { 9 } + 5 \right) ^ { 2 } } { \left( x ^ { 9 } + 5 \right) }

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