arrow_back
Of course there's no reason why the function should *just* be
continuous on `[a,b]`, or just be differentiable on
`(a,b)`. In fact, usually, `f` will be differentiable
(and hence continuous) on a much larger set `E`, and `a` and
`b` are just going to be two points that we pick
in `E` (with the
additional property that the whole interval `[a,b]` lies
inside `E`.)