If $f ( x ) = 6 \cos x + \sin ^ { 2 } x$, find $f ^ { \prime } ( x )$ and $f ^ { \prime \prime } ( x )$
A) $f ^ { \prime \prime } ( x ) = - 6 \cos ( 2 x ) + 2 \cos ( x )$
B) $f ^ { \prime } ( x ) = - 6 \sin ( x ) + \sin ( 2 x )$
C) $f ^ { \prime } ( x ) = - 6 \sin ( 2 x ) + \sin ( x )$
D) $f ^ { \prime \prime } ( x ) = - 6 \cos ( x ) + 2 \cos ( 2 x )$
E) $f ^ { \prime \prime } ( x ) = - 2 \cos ( 2 x ) + 6 \cos ( x )$

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The Answer of If $f ( x ) = 6 \cos x + \sin ^ { 2 } x$, find $f ^ { \prime } ( x )$ and $f ^ { \prime \prime } ( x )$
A) $f ^ { \prime \prime } ( x ) = - 6 \cos ( 2 x ) + 2 \cos ( x )$
B) $f ^ { \prime } ( x ) = - 6 \sin ( x ) + \sin ( 2 x )$
C) $f ^ { \prime } ( x ) = - 6 \sin ( 2 x ) + \sin ( x )$
D) $f ^ { \prime \prime } ( x ) = - 6 \cos ( x ) + 2 \cos ( 2 x )$
E) $f ^ { \prime \prime } ( x ) = - 2 \cos ( 2 x ) + 6 \cos ( x )$

If f(x)=6cos⁡x+sin⁡2xf ( x ) = 6 \cos x + \sin ^ { 2 } xf(x)=6cosx+sin2x

If $f ( x ) = 6 \cos x + \sin ^ { 2 } x$