A visual explanation of what the chain rule and product rule are, and why they are true. Help fund future projects: https://www.patreon.com/3blue1brown This video was sponsored by Brilliant: https://brilliant.org/3b1b An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/lessons/chain-rule-and-product-rule#thanks Home page: https://www.3blue1brown.com/ Series like this one are funded largely by the community, through Patreon, where supporters get early access as the series is being produced. http://3b1b.co/support Timestamps: 0:00 - Intro 1:48 - Sum rule 4:13 - Product rule 8:41 - Chain rule 14:36 - Outro Thanks to these viewers for their contributions to translations Hebrew: Omer Tuchfeld Italian: adilatte, ang 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