Sat July 14, 2012 By: Rashmi Rashmi

what is the difference between differentiability and continuity ?

Expert Reply
Sun July 15, 2012
Answer : A function is said to be continuous at a point x=a  iff,
Left hand limit at (x =a) = Right hand limit at (x=a) = f(a) 
But in the case of differentiability ,
Left hand derivative at (x=a ) = Right hand derivative at (x=a)
we can also say that , 
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