For \( \quad x \in R, f(x)=|\log 2-\sin x| \quad \) and \( g(x)=f(f...
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For \( \quad x \in R, f(x)=|\log 2-\sin x| \quad \) and \( g(x)=f(f(x)) \), then:
[JEE Mains- 2016]
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(1) \( g \) is not differentiable at \( x=0 \)
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(2) \( g^{\prime}(0)=\cos (\log 2) \)
(3) \( g^{\prime}(0)=-\cos (\log 2) \)
(4) \( g \) is differentiable at \( x=0 \) and \( g^{\prime}(0)=-\sin (\log 2) \)
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