Taming cubic extrema with one weird plot #SoME3

Another deep dive into cubic interpolation. This time we're investigating cubic extrema, with the goal of keeping the curve inside a bounding box. Along the way we'll develop a really neat plot that visualizes the behavior every possible cubic interpolation. Part 1 (not a prerequisite): https://youtu.be/VVynf3l0Fvo #SoME3 #maths Corrections: 10:31 - Discriminant, not determinant Chapters: 0:00 - Chapter 0: Intro 3:03 - Chapter 1: First steps 6:00 - Chapter 2: Quadratic case 10:08 - Chapter 3: Cubics with no extrema 13:24 - Chapter 4: Cubics with extrema 19:46 - Chapter 5: Putting it all together