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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: how can u prove graphically that modulus function is continious but non-differentiable?
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prasen_prasen (273)

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Olaaa!! Perrrfect answer. 53  [57 rates]

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in a graph we know that the differential at a point gives the slope at that graph at that point. as the slope of few graphs at some specific points cannot be defined(eg. slope at the point of discontinuity, sharp edges, etc) the slope of the graph y=/x/ cannot be defined as it has a sharp edge at x=0.
hence the graph y=/x/ cannot be differentiated though it is continous

please have mercy on me if i were wrong and correct me
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