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

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) $f ^ {tt} ( x ) = x ^ { 2 } \sec x \left( 12 + x ^ { 2 } \sec ^ { 2 } x + 8 x \tan x + x \tan ^ { 2 } x \right)$