Mathematical Sciences: Faculty Presentations (1991-2022)

When is a Derivative Not Continuous?

Document Type

Presentation

Presentation Date

January 2009

Copyright

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Abstract or Description

We know that if a function is differentiable, then it is continuous. What, if anything, do we know about the continuity of that existing derivative? We shall examine elementary functions and an example of an existing derivative that is not continuous. Related facts, not usually a part of elementary calculus, will be discussed at an "elementary" level.

Sponsorship/Conference/Institution

GCTM Annual Conference

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