0

Guest

Courses New

if a function is continuous but non differential at a point it implies

if a function is continuous but non differential at a point it implies
 

Grade:12th pass

2 Answers

Vikas TU
14149 Points
3 years ago
Dear student 
this means that differentiable functions are very atypical among continuous functions. The first known example of a function that is continuous everywhere but differentiable nowhere is the Weierstrass function.
example the absolute value function is actually continuous (though not differentiable) at x=0.
Srutarshi Tripathi
38 Points
3 years ago
For continuity at a point , the function’s limit tending to that point must exist.Whereas for differentiabilty, limit of change in f(x) divided by change in x when delta x tends to zero must exist . Some functions like I x I is continuous throughout but non-differentiable at x=0
 

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More