video thumbnail 18:26
Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus

2017-05-04

[public] 1.12M views, 48.1K likes, 263 dislikes audio only

channel thumb3Blue1Brown

Formal derivatives, the epsilon-delta definition, and why L'Hôpital's rule works.

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/lessons/limits#thanks

Home page: https://www.3blue1brown.com

Timestamps

0:00 - Intro

1:17 - Formal definition of derivatives

4:52 - Epsilon delta definition

9:53 - L'Hôpital's rule

17:17 - Outro

Thanks to these viewers for their contributions to translations

Hebrew: Omer Tuchfeld

Portuguese: rose ✨

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


Derivative formulas through geometry | Chapter 3, Essence of calculus by 3Blue1Brown
/youtube/video/S0_qX4VJhMQ
3Blue1Brown Store Check out the store!
http://www.3blue1brown.com/store
Intro
/youtube/video/kfF40MiS7zA?t=0
Formal definition of derivatives
/youtube/video/kfF40MiS7zA?t=77
Epsilon delta definition
/youtube/video/kfF40MiS7zA?t=292
L'Hôpital's rule
/youtube/video/kfF40MiS7zA?t=593
Outro
/youtube/video/kfF40MiS7zA?t=1037
3Blue1Brown 3Blue1Brown, by Grant Sanderson, is some combination of math and entertainment, depending on your disposition. The goal is for explanations to be driven by animations and for difficult problems to be made simple with changes in perspective. For more information, other projects, FAQs, and inquiries see the website: https://www.3blue1brown.com
/youtube/channel/UCYO_jab_esuFRV4b17AJtAw
Essence of calculus by 3Blue1Brown
/youtube/video/WUvTyaaNkzM
Pause and ponder shirts + posters store.dftba.com
http://store.dftba.com/collections/3blue1brown
Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus 1,756,106 views
/youtube/video/rfG8ce4nNh0