The Derivative Delimma

This repository contains the python code to create mathematical animation video as shown here.

It uses mathematical animation library Manim.

About the Video

Through a sneaky mathematical trick, we discuss the nuances in the notion of derivative.

First, we start with a brain-teaser to charge-up your brain. Then we look at derivatives from the first-principles to re-investigate the problem with our sneaky mathematical trick.

Feel free to ask further questions and use the code as you may find useful.

Further suggestions or collaborations on the mathematical animation videos are very welcome.

References

• https://math.stackexchange.com/questions/1096/where-is-the-flaw-in-this-proof-that-1-2-derivative-of-repeated-addition

• https://math.stackexchange.com/questions/2361230/differentiation-of-x2-by-writing-it-as-x-x

• https://math.stackexchange.com/questions/1096/where-is-the-flaw-in-this-proof-that-1-2-derivative-of-repeated-addition

Authors

• Arun Pandey

• Mainak Mandal