@article {MATHEDUC.06220562,
author = {Sahoo, Manas R.},
title = {Example of a monotonic, everywhere differentiable function on $\Bbb{R}$ whose derivative is not continuous.},
year = {2013},
journal = {American Mathematical Monthly},
volume = {120},
number = {6},
issn = {0002-9890},
pages = {566-568},
publisher = {Mathematical Association of America (MAA), Washington, DC},
doi = {10.4169/amer.math.monthly.120.06.566},
abstract = {Summary: We construct an example of a monotonic function which is differentiable every-where, but the derivative is not continuous. This is done using a nonnegative discontinuous integrable function for which every point is a Lebesgue point.},
msc2010 = {I25xx (I45xx I55xx)},
identifier = {2014b.00685},
}