question_answer

If \[f\,(x)=max\,\{\sin x,\,\,si{{n}^{-1}}(\cos x)\},\] then

A) f is differentiable everywhere

B) f is continuous everywhere hut not  differentiable

C) f is discontinuous at \[x=\frac{n\pi }{2},\]\[n\in I\]

D) none of these

Correct Answer: B

Solution :

this is continuous every where but not differentiable