In this video I am presenting a Legend of Zelda analogy of diagonalization and I’m showing why A = PDP^-1 means that A is “just like” D.

Thanks to Reio in Romania for emailing me this fun problem! What is the area? This puzzle was shared with the tagline "you should be able to solve this."

Solution to 5th grade Chinese challenge problem
https://youtu.be/OuJQaxZvlYs

My blog post for this…

So you think you can take the derivative, handout here: https://blackpenredpen.com/calc1 Please subscribe and share my videos to help my channel grow! 😃 Comm...

So you think you can take the derivative, practice#2 here: https://img1.wsimg.com/blobby/go/243312bf-c96a-40a0-aeba-d282365f208a/downloads/1cjdb98fu_205135.p...

Truncatable Primes with Dr James Grime... Check out Brilliant (and get 20% off their premium service): https://brilliant.org/numberphile (sponsor)
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Dr James Grime is available for public talks. See his website:…

How to find the Horizontal asymptote, vertical asymptote and removable discontinuity from a rational function. #calculus
For more similar examples, check out my playlist :https://www.youtube.com/playlist?list=PLb2SZv7eAqpmFSRhJAtPYis3RT2TtCWbl

Horizontal…

I use multivariable calculus (double/triple integrals) to calculate the volume of the famous Steinmetz solid that is obtained by intersecting two cylinders. One could do it using single variables, but the multivariable approach is more systematic. Enjoy!…

Derivative of a heart curve by implicit differentiation. This is definitely one of my favorite curves in calculus and we will find dy/dx by using implicit differentiation. If you are taking calculus 1, then this is a good practice to master your derivative…

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This video is about the absolutely wonderful wobbly table theorem. A…

So you think you can take the derivative, handout here: https://blackpenredpen.com/calc1 Please subscribe and share my videos to help my channel grow! 😃 Comm...

In this video, I will show you how to take the derivative with chain rule twice! So you think you can take the derivative (Practice#1), handout here: https:/...

How to find the differential? This question is from Stewart Calculus 8th ed, Sect3.10#17 Please subscribe and share my videos to help my channel grow! 😃 Comm...

Approximating (1.998)^4 by using differential,
Details about dy vs delta y, https://youtu.be/2ooWs_8hzxQ

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In this video, I calculate the volume of the Steinmetz 3-solid obtained by intersecting three cylinders, using a symmetry argument and cylindrical coordinate...

I'm thinking of a three digit number where the number exactly equals the sum of the factorial of each digit. What is the number?

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PopSugar featured one of my videos! Check it out:
https://www.popsugar.com/news/Math-Brain-Teaser…

Limit and continuity, limit of arctan(1/(x-4)) as x goes to 4, Checking both sides of a limit, Please subscribe and share my videos to help my channel grow! ...

Some limits represent derivative!

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My simple setup: 😃 https://youtu.be/IKk7k-CMttE ,

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In this video (my first video on blackpenredpen’s channel), I show how to calculate the limit as x goes to 2 of 3x + 5 using the epsilon-delta definition of a limit. Enjoy!

Intermediate Value Theorem, Bolzano’s theorem

This question is an exercise from Stewart Calculus textbook. Sect2.5 #53

We will discuss the difference between delta y and dy. Delta y is the difference between y-value value and the original y-value. But dy is the differential and it's an approximated difference between the y-values.
For more calculus tutorials, please check…

In this video, I give an actual definition of the half derivative and use it to calculate the half-derivative of x. Thankfully we get the same result.

In the next video, I use that definition to calculate the half-derivative of ln(x)