Differentiate the following w.r.t $x$: $2^{\large \cos^2x}$

Question

$\begin{array}{1 1} (A) \;2\cos^2x\log 2(\sin 2x) \\(B) \;-2^{\large\cos^2x}\log 2(\sin 2x) \\ (C)\;2\cos^2x\log 2(\sin 2x) \\ (D)\;-2\cos^2x\log 2(\cos 2x) \end{array}$