@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},
}