$\text { Find the second derivative of the function } f ( x ) = x ^ { 4 } \sec x \text {. }$

question 98

Multiple Choice

$\text { Find the second derivative of the function } f ( x ) = x ^ { 4 } \sec x \text {. }$

• A) \(f ^ { tt} ( x ) = x ^ { 2 } \sec x \left( 12 + x \sec ^ { 2 } x + 8 x \tan x + x ^ { 2 } \tan ^ { 2 } x \right)\)
• B) \(f ^ {tt } ( x ) = x ^ { 2 } \sec x \left( 12 + x ^ { 2 } \sec ^ { 2 } x + 8 x \tan x + x ^ { 2 } \tan ^ { 2 } x \right)\)
• C) \(f ^ { tt } ( x ) = x ^ { 2 } \sec x \left( 12 + x ^ { 2 } \sec ^ { 2 } x + 4 x \tan x + x ^ { 2 } \tan ^ { 2 } x \right)\)
• D) \(f ^ { tt } ( x ) = x ^ { 2 } \sec x \left( 12 + x ^ { 2 } \sec ^ { 2 } x + 8 x \tan x + x ^ { 2 } \tan x \right)\)
• E) \(f ^ {tt} ( x ) = x ^ { 2 } \sec x \left( 12 + x ^ { 2 } \sec ^ { 2 } x + 8 x \tan x + x \tan ^ { 2 } x \right)\)

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