Find the Derivative of the Function $f ( x ) = x ^ { 4 } ( 3 + 3 x ) ^ { 3 }$

question 20

Multiple Choice

Find the derivative of the function. $f ( x ) = x ^ { 4 } ( 3 + 3 x ) ^ { 3 }$

• A) \(f ^ { \prime } ( x ) = x ^ { 2 } ( 3 + 3 x ) ^ { 3 } ( 12 + 21 x )\)
• B) \(f ^ { \prime } ( x ) = 3 x ^ { 4 } ( 3 + 3 x ) ^ { 2 } ( 12 + 21 x )\)
• C) \(f ^ { \prime } ( x ) = x ^ { 3 } ( 3 + 3 x ) ^ { 3 } ( 12 + 21 x )\)
• D) \(f ^ { \prime } ( x ) = x ^ { 3 } ( 3 + 3 x ) ^ { 2 } ( 12 + 21 x )\)
• E) \(f ^ { \prime } ( x ) = x ^ { 3 } ( 3 + 3 x ) ^ { 2 } ( 12 + 3 x )\)

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