For `x in R ,f(x)=|log2-sinx|` and `g(x)=f(f(x))` , then
(1)`g` is not differentiable at `x=0`
(2) `g'(0)=cos(log2)`
(3) `g'(0)=-cos(log2)`
(4) g is differentiable at ` x=0` and `g'(0)=-sin(log2)`

Explanation

To solve the problem, we need to analyze the functions \( f(x) \) and \( g(x) \) defined as follows:

1. \( f(x) = | \log 2 - \sin x | \)
2. \( g(x) = f(f(x)) \)

We will check the differentiability of \( g(x) \) at \( x = 0 \) and calculate \( g'(0) \).

### Step 1: Evaluate \( f(0) \)
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