Thread: Problem 3.5 View Single Post
#2
07-30-2014, 08:39 AM
 magdon RPI Join Date: Aug 2009 Location: Troy, NY, USA. Posts: 597
Re: Problem 3.5

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.
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