For $x \in R ,f(x) = | \log 2 - \sin x | $ and $g(x) =f(f(x))$, then

Question

$\begin{array}{1 1}\text{(1) g is not differentiable at x = 0} \\ (2) g'(0) = \cos (\log 2) \\ (3) g'(0) = - cos(log 2) \\ (4) g\; is\; differentiable\; at\; x = 0\; and \; g'(0) = -sin(log 2) \end{array} $