MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 10

                        

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

4 years ago

Answers : (3)

Ajay
209 Points
							
y\quad =\quad x\quad if\quad x<=1\\ \quad y\quad =\quad 1\quad if\quad 1<x<=2\\ \quad y\quad \quad =\quad x-1\quad if\quad x>2
 
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
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

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


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details