question_answer

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

A) f  is differentiable everywhere

B) f is continuous everywhere but 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