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For x"inR,f(x)=|log2-sinx|andg(x)=f(f(x)...

For `x"inR,f(x)=|log2-sinx|andg(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=0andg'(0)=-sin(log2)`

Text Solution

Verified by Experts

The correct Answer is:
b
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