The paradox of the derivative Chapter 2 Essence of calculus

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What is an instantaneous rate of change when change happens across time? • Help fund future projects: / 3blue1brown • This video was supported in part by Art of Problem Solving: https://aops.com/3blue1brown • An equally valuable form of support is to simply share some of the videos. • Special thanks to these supporters: http://3b1b.co/lessons/derivatives#th... • Home page: https://www.3blue1brown.com/ • Note, to illustrate my point for the target audience of a new calculus student, I discussed a hypothetical speedometer that makes distance measurements over a very small time. Interestingly, most actual speedometers in modern cars work by analyzing the induced current of a spinning magnet, which is in some sense the universe implementing the derivative. • Thanks to these viewers for their contributions to translations • Dutch: @LFWarsen • Hebrew: Omer Tuchfeld • Italian: mulstato • 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: / 3blue1brown • Patreon: / 3blue1brown • Facebook: / 3blue1brown • Reddit: / 3blue1brown

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