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Need solution for rd sharma maths class 12 chapter 9 Differentiability exercise Multiple choice question, question 16

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HINTS: check the continuity and differentiability at x=n\pi

GIVEN: f(x)=\left | \sin x \right |


\begin{aligned} &f(x)=|x|, g(x)=\sin x \\ &h(x)=\operatorname{fog}(x) \end{aligned}

as \begin{aligned} |x|\end{aligned} and sin x are continuous. So  composition of function , \begin{aligned} |\sin x|\end{aligned} is continuous


Now , we know f(x)=\left | \sin x \right |  is not differentiable where x=0 , x=n\pi

so \begin{aligned} |\sin x|\end{aligned} is every were continuous but not differentiable at x=n\pi

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