4
$\begingroup$

Is right differentiable function almost everywhere continuous? If not, is it measurable?

  • 0
    For clarity, could you define "right differentiable" and "almost everywhere continuous"?2011-12-27
  • 0
    I think I retagged it properly. Measure theory was added2011-12-27
  • 0
    function f(x) is defined on [a,b). It is right differentiable which means for any x in [a,b), lim y->x (f(y)-f(x))/(y-x) exists.2011-12-27
  • 0
    And almost everywhere continuous means the discontinuous points of f(x) constitute a measure-zero set.2011-12-27

1 Answers 1