
#1
Oct309, 11:57 AM

P: 7

Hey. I am quite confused by continuity and derivatives. Both are finding the limits of a particular function as x approaches a. Then why is it that a graph that is continuous cannot be differentiable? If it is continuous, it means that the limit exists and so, it should be differentiable right?




#2
Oct309, 12:09 PM

Emeritus
Sci Advisor
PF Gold
P: 16,101

If p is three, does that mean q has to be three as well?
The limits used in the definitions of continuity and differentiability of a function f are different limits. 



#3
Oct309, 01:45 PM

PF Gold
P: 867

For example, a function with a "point" (f(x)=x has a point at x=0) can be continuous but not differentiable since the derivative is different on either side of the point.




#4
Oct309, 05:39 PM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,877

Difference between Continuity and Derivatives. 


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