A) \[f\] is differentiable every where
B) \[f\] is continuous every where but not differentiable
C) \[f\] is discontinuous at \[x=\frac{n\pi }{2},n\in I\]
D) \[f\] is non-differentiable at \[x=\frac{n\pi }{2},n\in I\]
Correct Answer: B
Solution :
\[f(x)=\max .\{\sin x,{{\sin }^{-1}}(\cos x)\}\] Clearly, f(x) is continuous but non-differentiable at infinite points.You need to login to perform this action.
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