Does a point have to exist to be differentiable?

Asked by Maddox Lugo

In order for a function to be differentiable at a point, it must first be continuous at that point. Related: differentiability implies continuity. For the example that you have given, the function is not differentiable at that point because of the discontinuity that exists at that point.

Robert Curry, BA Contributor
Robert Curry
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