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Does there exist a function which is continuous everywhere,but not differentiable at two points? Justify


4 years ago

Ajay
209 Points
							$y\quad =\quad x\quad if\quad x<=1\\ \quad y\quad =\quad 1\quad if\quad 12$ The above function is continous everywhere but not differentaible at 1 and 2.If you draw graph, it has pointed edges at 1 and 2 which indicates it is not differentaible at these points

4 years ago
Nandana
110 Points
							hi,  for your question , there are so many functions involving quadratic equations & one of the fundamentals functions are sinsoidal signals like sin & cos          take mod (cos x ) from 0 to 270 , it is continuous everywhere but it is not differentiable at 90 & 270 .                                           thank you

3 years ago
Anusha
11 Points
							F(x)=min{x,x^2},for every real value of xAnswer:if u draw the graph of the above function the graph has two sharp edges ,at these points the function is not differentiable

3 years ago
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### Course Features

• 51 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions