Find the Second Derivative of the Function $$f ( x ) = \left( 3 x ^ { 3 } + 7 \right) ^ { 7 }$$

question 21

Multiple Choice

Find the second derivative of the function. $$f ( x ) = \left( 3 x ^ { 3 } + 7 \right) ^ { 7 }$$

• A) \(f ^ { tt } = 63 x ( 7 + 3 x ) ^ { 5 } \left( 14 + 63 x ^ { 3 } \right)\)
• B) \(f ^ { tt } = 63 x \left( 7 + 3 x ^ { 3 } \right) ^ { 5 } \left( 14 + 60 x ^ { 3 } \right)\)
• C) \(f ^ { tt } = 63 x \left( 7 + 3 x ^ { 2 } \right) ^ { 5 } \left( 14 + 60 x ^ { 3 } \right)\)
• D) \(f ^ {tt } = 63 x \left( 7 + 3 x ^ { 3 } \right) ^ { 5 } \left( 14 + 63 x ^ { 3 } \right)\)
• E) \(f ^ { tt } = 63 x \left( 7 + 3 x ^ { 3 } \right) ^ { 5 } \left( 14 - 60 x ^ { 3 } \right)\)

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