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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=0andg'(0)=-sin(log2)`

Text Solution

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The correct Answer is:
b
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