Find the Second Derivative of the Function $$f ( x ) = x \left( 3 x ^ { 2 } - 1 \right) ^ { 4 }$$

question 16

Multiple Choice

Find the second derivative of the function.
Select the correct answer.
$$f ( x ) = x \left( 3 x ^ { 2 } - 1 \right) ^ { 4 }$$

• A) \(4 x \left( 3 x ^ { 2 } - 1 \right) ^ { 3 }\)
• B) \(72 x \left( 3 x ^ { 2 } - 1 \right) ^ { 2 } \left( 9 x ^ { 2 } - 1 \right)\)
• C) \(12 x \left( 3 x ^ { 2 } - 1 \right) ^ { 2 }\)
• D) \(\left( 27 x ^ { 2 } - 1 \right) \left( 3 x ^ { 2 } - 1 \right) ^ { 3 }\)

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