A function with Discontinuous Derivative (Ch4 Pr6)

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We show that a everywhere continuous and differentiable function can have a discontinuous derivative. This is Chapter 4 Problem 6 of the MATH1141 Calculus notes. Presented by Daniel Mansfield of the School of Mathematics and Statistics, UNSW.
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Thank you, I wonder if there is a differentiable function with discontinuous derivative where that limit exists. Do you know any function like that?

Javier-idlq
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Helped me study for me midterm in intro to real. Thank you so much

rylanbuck
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This guy is beast. Cheers. although wish he could've done q7... :(

ThCuriousGeorgE