Grade 10Differential Calculus

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

yesodharan kp

9 Years agoGrade 10

3 Answers

Ajay

9 Years ago

$y\quad =\quad x\quad if\quad x<=1\\ \quad y\quad =\quad 1\quad if\quad 1<x<=2\\ \quad y\quad \quad =\quad x-1\quad if\quad x>2$

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

Nandana

9 Years ago

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

Anusha

8 Years ago

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