$\text { Find the second derivative of the function } f ( x ) = \sin 5 x ^ { 6 } \text {. }$

question 72

Multiple Choice

$\text { Find the second derivative of the function } f ( x ) = \sin 5 x ^ { 6 } \text {. }$

• A) \(f ^ { tt } ( x ) = 30 x ^ { 4 } \cos 5 x ^ { 6 } + 30 x ^ { 10 } \sin 5 x ^ { 6 }\)
• B) \(f ^ { tt } ( x ) = 30 x ^ { 4 } \cos 5 x ^ { 6 } - 900 x ^ { 10 } \sin 5 x ^ { 6 }\)
• C) \(f ^ { tt } ( x ) = 180 x ^ { 4 } \cos 5 x ^ { 6 } - 900 x ^ { 10 } \sin 5 x ^ { 6 }\)
• D) \(f ^ { tt } ( x ) = 150 x ^ { 4 } \cos 5 x ^ { 6 } + 900 x ^ { 10 } \sin 5 x ^ { 6 }\)
• E) \(f ^ { tt } ( x ) = 150 x ^ { 4 } \cos 5 x ^ { 6 } - 900 x ^ { 10 } \sin 5 x ^ { 6 }\)