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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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.
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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)

We prove that e is irrational by examining its series expansion and asking for a little bit of help from our friend Joseph Fourier.

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In this video, I calculate the limit as x goes to 3 of x^2, using the epsilon-delta definition of a limit.

speeding up or speeding down, rate of change of position Please subscribe for more calculus tutorials and share my videos to help my channel grow! 😃 Comment ...

derivative of ln(x) vs derivative of ln(abs(x))

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My simple setup: 😃 https://youtu.be/IKk7k…

Thanks to Raoul from Indonesia! This problem stumped me, but I persisted and eventually figured it out. The key was thinking inside the box!

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Read the Nature paper for yourself:
"Scutoids are a geometrical solution to three-dimensional packing of epithelia"
https://www.nature.com/articles/s41467-018-05376-1

Thanks to Laura and Clara for helping me with the video!

You can download Laura's model…