If $f(x)=6 \cos x+\sin ^{2} x$ , Find $f^{\prime}(x)$ And $f^{\prime \prime}(x)$
A)

Multiple Choice

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) $f^{\prime \prime}(x) =-2 \cos (2 x) +6 \cos (x)$