What does the second derivative actually do in math and physics?

Happy Quantum Day! :) In this video we discover how we can understand the second derivative geometrically, and we derive a few physical relations using this intuition. Link to the HQI Blog and their Quantum Shorts Contest: https://www.hqi-blog.com/contest Derivation of Laplacian equal to average over sphere in 3D: https://isis2.cc.oberlin.edu/physics/dstyer/Electrodynamics/Laplacian.pdf Animations: All animations created by me within Python, using Manim. To learn more about Manim and to support the community, visit here: Link: https://www.manim.community/ Music: -------------------------------------------------------------- ♪ Intro by HOME Link : https://midwestcollective.bandcamp.com/track/intro --------------------------------------------------------------