Q3 of 64 Page 10

Is every continuous function differentiable?

No, a function may be continuous at a point but not differentiable at that point.


For example,


Function f(x)=|x| is continuous at x = 0 but not differentiable at x =0.


More from this chapter

All 64 →
1

Define differentiability of a function at a point.

 2

Is every differentiable function continuous?

 4

Give an example of a function which is continuous but not differentiable at a point.

 5

If f(x) is differentiable at x = c, then write the value of .