Monday, September 10, 2018

real analysis - Why differentiability implies continuity, but continuity does not imply differentiability?


Why does differentiability implies continuity, but continuity does not imply differentiability?




I am more interested in the part about a continuous function not being differentiable.



Well, all I could find in regards to why continuous functions can not be differentiable were counter- examples...




I just wanted to know if there was a more detailed way of explaining this.

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analysis - Injection, making bijection

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