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

For `x in R, f(x) = |log 2 - sin x| 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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