This video is a direct follow up of the Part 1 of the series:
   • Smooth Interpolation Function in One ...  

Part 1 of the series was made for a submission for the Summer of Math Expositions 2:
   • Summer of Math Exposition 2 Invitation  
but since I had to meet a deadline, it was submitted with some missing details. In this video, we aim to address potential issues from pathological functions.

Chapters:
00:00 Intro
00:53 Problem Statement
01:20 Potential Issue 1
02:37 Potential Issue 2

🎵Music provided by Kevin MacLeod
🎵Track: Midnight Tale -    • Midnight Tale  



Corrections:
02:40 the discontinuity for f should be at x = -1, not x = 0
02:58 g(1) = 0
03:00 g'(1) = -1 and g^(k)(1) = 0 for all k greater than 1