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Problem of the Week #293 - Dec 31, 2019

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Euge

MHB Global Moderator
Staff member
Jun 20, 2014
1,890
Here is this week's POTW:

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Suppose $f : (a,b) \to \Bbb R$ is a convex function. Show that $f$ is differentiable at all but countably many points and the derivative is nondecreasing.

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Remember to read the POTW submission guidelines to find out how to submit your answers!
 
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