Limit Definition of Derivatives Visualized in Minecraft

We give a geometric explanation for why the derivative of x^3 is 3x^2.

You can see all of my previous Math and Minecraft episodes here:

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#minecraft, #education, #makemathfun, #math

If you want to learn more about the geometry of derivatives, watch this 3b1b video!

[DrWeselcouch]

In your opinion what's better, tangent lines or Minecraft for visualizing derivatives?

[Fun_maths]

Wait what now? you're using a blocky sandbox game to visualize the derivative?
Now that's some quality content

[rexitorium]

Maybe it would be better if you could visualise h -> 0 or something and how that leads to the interior surface area becoming the difference in volume, but that was a really fascinating approach for derivatives and I feel like I just gained a ton of geometric intuition for derivatives that you don't get in school

[zac]

Another idea for calculus and minecraft: Try and calculate the acceleration of a minecart

[thebloxxer]

Funny thing, my Foundations of Calculus (Standard Placement Calculus in HS) Derivatives unit is nearly ending. I need to send this to my teacher.

[cheelive]

This is so cool! I wish your channel had more subscribers!

[atriagotler]

what is the most complicated/advanced topic that you think would be possible to reasonably demonstrate in minecraft?

[aneeshsrinivas]

what's your favorite derivitive question.

[MarkusDarkess]

Surface are you are talking about the out side of the cube?

And I appreciate the visuals.

[aashsyed]

Spoiler: this has been done before you, by the channel :physics videos by Eugene khotoryanky" no even though it's a physics channel it sometimes does math.