For x R, f(x)=| 2- x| and g(x)=f(f(x)) then :
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
For \(x \in R, f(x)=|\log 2-\sin x|\) and \(g(x)=f(f(x))\) then :
- g is not differentiable at x = 0
- \(g^{\prime}(0)=\cos (\log 2)\)
- \(g^{\prime}(0)=-\cos (\log 2)\)
- g is dffierentiable at x = 0 and g'(0) = -sin(log2)
Answer
(B) g^ (0)= ( 2)
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