what's a derivative?

notes:
- the ball did not fall for 3 seconds i lied, it was actually around 2.5
- you might see delta X written as h
- derivatives are often shown as f'(x) or dy/dx (d is Δ (delta)'s infinitesimally small cousin)

0:00 physics example
1:34 rate of change
4:22 instantaneous rate of change
6:42 derivative application

Special thanks to my friend Jack that helped me with the math, scripting, and gave great feedback

[Sebastian]

This is one of the best explanations I've found on derivatives, thanks!

[ThCursdChild]

*Testing conducted in an environment where Earth is 40% lighter than our world

[yasithfer]

ok bro now keeps making videos you are the best; this is exactly people looking for who wants to understand things easily.

[Oxygenationatom]

This is an change of pace for your channel lol. I love it

[vvert]

you make it seem so intuitive and simple its almost frustrating
great work!

[caroid]

This is what I was trying to understand for hours yesterday and trying to visualise the concept of a derivative, and literally got this in my feed today

[bucketmann]

Very well explained. The animation gives off Veritasium vibes.

[kenfrank]

Excellent job with the graphics. It makes learning easy and fun. And it looks pretty cool.

[Faroshkas]

How did you even make these animations? They look seriously good.
Also, the explanation was top-notch. It gave me fresh perspective on how to go about explaining this subject. Congratulations!

[angelamilani]

Nice! I really enjoyed the animations!

[NockaMama]

Well explained, I still don’t get it but very well explained!

[valentinleguizamon]

this is so good!! I loved that you displayed the function at the right by making space and didn't take out the graph!! Everything is on point, I learned with calmness, thanks a lot Skeary!!!

[bobtheblob]

So a tangency for a non-constant radius spline?

[lyrnth]

everyone: great explaining
me: d a r k m o d e

[bruhifysbackup]

explained extremely simply. this is just pure brilliance! btw, what font do you use for the equations? This font looks clean asf

[VatLyChill]

Hello, is there anyway to contact you? 😊

[internetandcomputerprobe]

Really informative please continue on limits, derivatives, and others also.. >>>

[submergedgems]

Need more math and calculus videos!!!!

[bentobottega]

Nice video, but check you audio. Your voice is popping. You can solve it with some audio software or just putting a sock around you microphone.

[SilverSurfer]

Isn't speed just distance/time you don't need a derivative for that
I still don't understand how they work