Can a function be differentiable but not continuous.

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Alexisgonzales3659idn Alexisgonzales3659idn

03-02-2022
Mathematics

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Can a function be differentiable but not continuous.

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Jnickelson8876idn Jnickelson8876idn · Answer 1 · 2022-02-03T13:48:32-05:00

Jnickelson8876idn Jnickelson8876idn

03-02-2022

Answer:

We see that if a function is differentiable at a point, then it must be continuous at that point. There are connections between continuity and differentiability. If is not continuous at , then is not differentiable at . Thus from the theorem above, we see that all differentiable functions on are continuous on

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