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For x in R, f(x) =|log(e) 2-sinx| and...

For `x in R, f(x) =|log_(e) 2-sinx| and g(x) = f(f(x)) ,` then

A

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

B

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

C

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

D

g si not differentiable at x=0

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The correct Answer is:
A
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