3blue1brown
3blue1brown
@3blue1brown·8.4M subscribers·238 videos

The paradox of the derivative | Chapter 2, Essence of calculus

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April 29, 2017

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What is an "instantaneous rate of change" when change happens across time?

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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.

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The paradox of the derivative | Chapter 2, Essence of calculus · 3blue1brown · Sentinel