2017-05-02

[public] 2.18M views, 91.1K likes, 580 dislikes audio only

3Blue1Brown

What is e? And why are exponentials proportional to their own derivatives?

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Timestamps

0:00 - Motivating example

3:57 - Deriving the key proportionality property

7:36 - What is e?

8:48 - Natural logs

11:23 - Writing e^ct is a choice

Corrections:

9:40 - I meant to say "*the derivative of* e to the power of some constant..."

12:30 - What's written as "(1 + r)" should really just be r, by any usual convention for how to write an interest rate.

Thanks to these viewers for their contributions to translations

Hebrew: Omer Tuchfeld

Italian: ang

Vietnamese: @ngvutuan2811

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