Find the Derivative Of $h ( x ) = \left( 4 x ^ { 3 } + e ^ { x } \right) ^ { 3 }$

question 46

Multiple Choice

Find the derivative of $h ( x ) = \left( 4 x ^ { 3 } + e ^ { x } \right) ^ { 3 }$ .

• A) \(3 \left( 4 x ^ { 3 } + e ^ { x } \right) ^ { 2 } \left( 12 x ^ { 2 } + e ^ { x } \right)\)
• B) \(3 \left( 4 x ^ { 3 } + e ^ { x } \right) ^ { 2 } \left( 12 x ^ { 2 } + x e ^ { x - 1 } \right)\)
• C) \(3 \left( 4 x ^ { 3 } + e ^ { x } \right) ^ { 2 }\)
• D) \(3 \left( 12 x ^ { 2 } + e ^ { x } \right) ^ { 2 }\)

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