id: 06220562
dt: j
an: 2014b.00685
au: Sahoo, Manas R.
ti: Example of a monotonic, everywhere differentiable function on $\Bbb{R}$
whose derivative is not continuous.
so: Am. Math. Mon. 120, No. 6, 566-568 (2013).
py: 2013
pu: Mathematical Association of America (MAA), Washington, DC
la: EN
cc: I25 I45 I55
ut:
ci:
li: doi:10.4169/amer.math.monthly.120.06.566
ab: 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.
rv: