Find the Derivative of the Function $s ( x ) = \left( 4 x ^ { 2 } - 2 x + 2 \right) \tan x$

Find the derivative of the function. $s ( x ) = \left( 4 x ^ { 2 } - 2 x + 2 \right) \tan x$

A) $s ^ { \prime } ( x ) = ( 8 x - 2 ) \tan x + \left( 4 x ^ { 2 } - 2 x - 2 \right) \sec ^ { 2 } x$
B) $s ^ { \prime } ( x ) = ( 8 x - 2 ) \tan x + \left( 4 x ^ { 2 } - 2 x + 2 \right) \sec x$
C) $s ^ { \prime } ( x ) = ( 8 x - 2 ) \tan x + \left( 4 x ^ { 2 } + 2 x + 2 \right) \sec ^ { 2 } x$
D) $s ^ { \prime } ( x ) = ( 8 x - 2 ) \tan x + \left( 4 x ^ { 2 } - 2 x + 2 \right) \sec ^ { 2 } x$
E) $s ^ { \prime } ( x ) = ( 8 x - 2 ) \tan x - \left( 4 x ^ { 2 } - 2 x + 2 \right) \sec ^ { 2 } x$

Correct Answer:

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