
06220562
j
2014b.00685
Sahoo, Manas R.
Example of a monotonic, everywhere differentiable function on $\Bbb{R}$ whose derivative is not continuous.
Am. Math. Mon. 120, No. 6, 566568 (2013).
2013
Mathematical Association of America (MAA), Washington, DC
EN
I25
I45
I55
doi:10.4169/amer.math.monthly.120.06.566
Summary: We construct an example of a monotonic function which is differentiable everywhere, but the derivative is not continuous. This is done using a nonnegative discontinuous integrable function for which every point is a Lebesgue point.