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ah the first qs reminded me of snells law in kinematics , tho finding the angles can be a bit weird in Minecraft

Please keep making these videos! These are so awesome to watch being a minecraft player and AP student myself :) thanks for what you do my man

666th like

I found your channel just in time for my next engineering semester, thanks for making these videos!

I love when smarts topics are explaining in smart videos using smart example, like a game. This is genius, my professors need to see that like of video.

Very small correction at 4:50, local/absolute minimums and maximums need not *only* occur when the derivative is equal to zero. Take f(x) = | x |, whose derivative is never zero for all inputs x. Great video regardless! Love the applications and problem solving break downs! Keep up the great work!

Oh wow! You made the tangent video quick!

Minecraft is a great graphing calculator👍👍🗣🗣

Very informative!

i think you should jump probably

and funny that light actually follows the optimization in order to save as much time as possible, bending when going through different mediums, so it has to spend as little time on travelling as possible, but then there's some quantum physics stuff

That’s actually lit

this showed up when im about to take calc in college in 3 weeks

Man if you could have posted the video a few hrs earlier then it would have been great cuz I am literally going back home now after giving my test and this was a part of it lol (not lying man am seriously saying)

I have another problem which came out from my game. We have two variables Multiplier & MT value. Multiplier by default equals to 1 & MT = 0 We have a value which we want to optimize named "Action" which I'll refer as A now. If we increase Multiplier by 1 we add 1 to A or we increase MT value by Multiplier. The question is what is the least action required to get MT from 0 to some value x ? Here's solution: Setting up the equation: I started by setting up what's action equal to? Action for the multiplier is equal but we assume that multiplier equals by default 1 so... A(m) = M - 1 However we have also action for increasing MF value which I'm gonna call f from now. I tested how M relates to wanted number (I tested for 15) So f = 0 by default & we want to get to the value 15 which is x After testing we can see that A(f) = x/M because A decreases as M gets bigger. So A = A(f) + A(m) Now we take the derivative of the function & solve for 0 & we find out that x = M^2 which means the minimum Action for M equals to √15 in that case. To calculate A(f) we just do A(f) = M-1 + x/M - √x which equals A(f) = √x - 1 since M cancelles out because it's equal to √x A = 2√x -1 which the lowest amount of action you can take to reach destinated value x (Note: all equations works only when M = 1 & starting value of f = 0 unless you want to find the solution for different values use this equation: A = M - M(s) + (x - x(0))/M )

The averaging measure is so iconic to be displayed in pixels that are overall averagely representing a line but are blocks shaped in 2 directions to form one pattern.

I just love how you can learn so much from Minecraft , I learned about logic gates , flip-flops , latches etc in Minecraft before I learned them in my college and I was like "Wait that's the thing from Minecraft redstone!" 🤣🤣

Gotta show my calc teacher this so he can teach next year bc calc with minecraft

This is really an underrated TH-cam channel. Wish you all the best in your TH-cam career!

Best explanation of derivatives I have ever seen 👏👏👏

I love math, but being unmedicated ADHD, it makes it very hard to focus in class and my teacher's methods don't resonate with me. that's why I love this video. thanks, I have always been wondering (as I play a lot of Roblox) how to find the optimal routes for certain games and whatnot. you earned my subscribe! :)

Max min of a continuous function on a compact def set is found either in points where the derivative is zero, edge points or where derivative doesnt exist.

I like the funny blocks.

Thank you. I could finally teach my older sister how to math and not be dishonor to my asian family.

I just discovered your channel and this is amazing! I've been studying calculus and physics and your videos are a great recap. So underrated this stuff but keep it up. I think you will soon get more viewers :D

i love this problem but unfortunately it is flawed. in the video 4.07 seconds is his answer and its good mathematically. However if you stay off the soulsand, you travel 19 meters total at 5m/s which come out to a time of 3.8 seconds. so there is no point in crossing the soulsand in this problem at all.

I'm not gonna be taking calc for another 3 years but i like learning and this was cool

Fucking A! Great idea, presenting problems in this fun and practical way is much more engaging that the current meta

A pretty standard explanation of calculus. It being in Minecraft doesnt make the subject more understandable but I guess some fans of the game will appreciate it in a purely visual way. 🤔🤔

Holy shit the youtube algorithm is showing me this video right as im learning this topic! I solved a problem thats essentially this same problem, just that it was about the cost of laying pipes along a river with underwater pipes being more expensive.

Would it not be easiest to just normalise distance so grass disrance is 15 m And distance in soul sand is 15 m after mutliplyigj how mcuh longer you take to wlak so this much if soul sand is equal to that mvuh of grass distance meanign tine out of equations unles its realy necessary. Just guess and no thinking into it so feel free to roast me Edit: Got it! I aim to implement the A* algorithm in such a way that when transitioning from grass (cost multiplier 1) to soul sand (cost multiplier 10), the algorithm dynamically adjusts the heuristic to account for the reduced traversal efficiency. Specifically, distances between nodes on soul sand are scaled by how much slower you walked. This scaling inflates the distance between nodes making the distance bigger on soul sand Then a* algorithm will find shortest path as it doesn't care how the nodes are placed as long as the heuretics are given Edits: Just get total distance and do binary search For value of x between 0 and 15 and I believe y of 7 you get distance in 2d And distance/(speed / speed multiplier of material) for first and second node of path Goal is the point on 0 , 7 and you're at 15, 0 And x represents x position and you can do binary search by getting total distance of grass distance and soul sand distance and multiply our speed on that materials You can do binary search algorithm that will find always the best path regardless where goal is We just do heuristic if the point is closer by getting last best distance and x value for it and swapping for new if it is smaller time to travel

man that's an AMAZING content idea!! I hope your channel grows bigger and bigger everyday

9:36 If you got all the way to there, you might as well just go around the soul sand

I'm in 11th grade and i can only understand until 3:58. I'm an indonesian, is that bad? Like genuinely asking.

shouldn't we prove that the function is continuous before taking the derivative?

This video is phenomenal!

Im awful at problem solving in calculus this actually helped a lot! Thanks dude :)

Can you do work and hookes law for calculus next? I love how simple you make these concepts sound. Super easy to digest.

I am curious how you would explain multivariate functions with Minecraft. It seems like it would be a lot of building.

Im sorry but is that Zero skin from Katana Zero??!?

Yoo this is inspiring! Your explanation is very clear and detailed!!! I can’t wait to flex on my class 😂

I would be interested if you could tackle vector calculus in Minecraft haha

I’m in multi right now but I wish my calc teacher had used this video to explain derivatives for the first time. It explains everything in terms I could actually understand.

nice videos but please, go to your editing software for your newest draft and turn the volume up by like a fucking tousand.

Speaking of which, I'll start taking a course specifically on optimization theory in just 10 days, so wish me luck!

hey! first of all, this is a great video, I'm starting to learn the basics about calculus and you doing so in minecraft really help me understand the concept. Second of all, basically, once every year I have to submit about what a topic that I've been learning, and I've been thinking about making one in Minecraft, but I really don't know what I should demonstrate in, but after watching this, I've decided to make one about computer science (basically redstone), so if you can, can I ask you some furthermore? It would really help me with my project.

i have been waiting your videos for past month. and i am surprised that you only have 970 subs

Awesome video man thanks alot!!!

Thank you

Im currently going through the journey of calculus and this video is both entertaining and works well with teaching my the basics. Just dropped a sub. Hope you do tangent slopes!