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A visual for derivatives that generalizes more nicely to topics beyond calculus. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/alt-calc-thanks And by Brilliant: https://brilliant.org/3b1b Home page: https://www.3blue1brown.com Essence of calculus series: http://3b1b.co/calculus Really nice applet made based on this video by Reddit user Larconneur: https://www.geogebra.org/m/rftwacsy Music by Vincent Rubinetti: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Timestamps: 0:00 - The transformational view of derivatives 5:38 - An infinite fraction puzzle 8:50 - Cobweb diagrams 10:21 - Stability of fixed points 13:38 - Why learn this? Thanks to these viewers for their contributions to translations Hebrew: Omer Tuchfeld Vietnamese: ngvutuan2811 ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3blue1brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown