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Difference between Continuity and Derivatives. 
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#1
Oct309, 11:57 AM

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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

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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

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Difference between Continuity and Derivatives.



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