source code: https://github.com/skearya/derivatives

this video was made completely with https://motioncanvas.io/, a code to animated video library

notes:
the ball did not fall for 3 seconds i lied, it was actually around 2.5
you might see delta X written as h
derivatives are often shown as f'(x) or dy/dx (d is Δ (delta)'s infinitesimally small cousin)

0:00 physics example
1:34 rate of change
4:22 instantaneous rate of change
6:42 derivative application