Derivative formulas through geometry | Chapter 3, Essence of calculus

Some common derivative formulas explained with geometric intuition. This video was sponsored by Brilliant: https://brilliant.org/3b1b Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to share the videos. Special thanks to these supporters: http://3b1b.co/lessons/derivatives-power-rule#thanks Time stamps: 0:00 Intro 1:38 f(x) = x^2 4:41 f(x) = x^3 6:54 f(x) = x^n "Power Rule" 10:07 f(x) = 1/x 12:36 Sine 16:56 Outro Great video by Think Twice showing this geometric view of the derivative of sin(x): https://youtu.be/R4o7sraVMZg Music: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Thanks to these viewers for their contributions to translations Hebrew: Omer Tuchfeld Italian: @Deye27 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 about 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