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what's a derivative?

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 Special thanks to my friend Jack that helped me with the math, scripting, and gave great feedback