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OpenStudy (anonymous):
Does uniform continuity on an interval I imply differentiability on I? Why or why not and give an example.
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OpenStudy (anonymous):
So I have shown that if f is differentiable on I and f' is bounded on I, the f is UC on I. I don't think the converse to this holds true, but I can't think of an example to back me up.
OpenStudy (turingtest):
y=|x|
OpenStudy (turingtest):
where is y=|x| continuous ?
OpenStudy (anonymous):
Everywhere! But it is not differentiable at x=0. Got it! Thanks. Must need more coffee :)
OpenStudy (turingtest):
you got it fast enough :)
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