I’m back!!! Thanks for your patience, I finally found the time to upload more YouTube videos, yaaaay!

In this video I present a proof of the Arithmetic-Geometric mean inequality using Lagrange multipliers. Enjoy!

They say only geniuses can solve this puzzle, and this time they are correct.

Thanks to all patrons! Special thanks to:
Shrihari Puranik
Yildiz Kabaran
Kyle

My blog post for this video
https://wp.me/p6aMk-82U

Sources
https://puzzling.stackexchange.com…

We will solve one of the most interesting and classic exponential equations x^y=y^x
We will use a parametrization to find all the solutions to x^y=y^x
Here's how to solve x^2=2^x (ft. Lambert W function) 👉 https://youtu.be/ndA0sF_0Rwk

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In this video, I calculate the integral of e^(-x^2) from -infinity to infinity using multivariable calculus. More precisely, I use a polar coordinates trick to transform the integral into something that’s easier to evaluate.

Note: I’ve already done this…

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Find the domain of the function…

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In this video I present a derivation of the integral of sin(x^2) from -infinity to infinity using multivariable calculus. This approach is more straightforward than the complex analysis approach, but breaks down at a certain point. Still, it’s too cool not…

What is the value of sqrt(0+sqrt(0+sqrt(0+...)))? infinite nested square roots, T-shirt: Doraemon by Uniqlo Derivative this function: ➡️ https://youtu.be/N5k...

Thanks to Josh for this problem! And thanks to Folke for emailing it to me! There are 7 doors in a line. A mouse starts in the middle at door 4. At doors 1 and 7 are cats. Every day the mouse moves one door left or right randomly, each direction with an equal…