There are 3 cases:
in which case
, which is differentiable.
in which case
, which is differentiable.
in which case
, but is not differentiable because the derivative is 0 or not depending on whether
approaches 1 from above or below.
Quote:
Originally Posted by BojanVujatovic
I have questions about this problem. What I get after analyzing is the following:
The last line follows because:
(since )
From this, I cannot see how is not continuous at . Instead I find that it is not continuous nor differentiable for 's such that .
Any help would be greatly appreciated.
