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For x in RR, f(x)=|log2-sinx| and g(x)=f...

For `x in RR, f(x)=|log2-sinx|` and `g(x)=f(f(x))`, then

A

g is not differentiable at x = 0

B

`g'(0)=cos(log2)`

C

`g'(0)=-cos(log2)`

D

g is differentiable at x = 0 and `g'(0)=-sin(log2)`

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