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CBSE Class 12-science Answered

 
 
 
 
 
 
what is the difference between continuity and differentiability?
Asked by manojmathematics11 | 04 Jun, 2015, 04:34: AM
answered-by-expert Expert Answer
C o n t i n u i t y space d e f i n e s space w h e t h e r space a space f u n c t i o n space i s space c o n t i n o u s space o r space n o t. D i f f e r e n t i a b i l i t y space d e f i n e s space w h e t h e r space a space f u n c t i o n space i s space d i f f e r e n t i a b l e space o r space n o t. E v e r y space d i f f e r e n t i a b l e space f u n c t i o n space i s space c o n t i n o u s comma space w h e r e a s space e v e r y space c o n t i n o u s space f u n c t i o n space m a y space n o t space b e space d i f f e r e n t i a b l e. L i t e r a l l y space s p e a k i n g comma space w e space c a n space s a y space t h a t space i f space a space f u n c t i o n space h a s space a space s h a r p space e d g e space a n d space n o space b r e a k space i n space t h e space g r a p h comma space i t space i s space a space c o n t i n o u s b u t space a space n o n minus d i f f e r e n t i a b l e space f u n c t i o n. F o r space e x a m p l e comma t h e space g r a p h space o f space y equals vertical line x vertical line space i s space a space c o n t i n o u s space f u n c t i o n space b u t space i s space n o t space d i f f e r e n t i a b l e.
Answered by Prasenjit Paul | 04 Jun, 2015, 09:35: AM

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