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

Derivatives center on the idea of change in an instant, but change happens across time while an instant consists of just one moment. How does that work? Check out the Art of Problem Solving: https://aops.com/3blue1brown 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 m

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