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This video is a direct follow up of the Part 1 of the series:
• Smooth Interpolation F...
Part 1 of the series was made for a submission for the Summer of Math Expositions 2:
• Summer of Math Exposit...
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