This is the best explanation for the limit definition of the derivative I have ever seen. Please do more calculus videos. I'm in calc 2 rn in college and this really helped me understand this better from calc 1.
Wow thank you so much! I tried something new with this calculus unit and I'm so glad it was helpful, next video will likely be on optimization so be on the lookout if you need help with that!!
You should really take a physics course. Calculus is so much easier to understand when you actually know what exactly is going on and how the application can be used
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!" 🤣🤣
Lol that’s the exact same thing in high school. In my senior year engineering class, I was bragging so much about how easy the class was while everyone else was struggling, and posting so many Minecraft tutorials on how logic gates work in electric circuits on the school engineering group chat 😂
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.
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.
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. 🤔🤔
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!
@gragbuilds I know how much efforts it takes to grow a yt channel (I have had tried a couple of yt channels in the past but couldn't continue since I wasn't able to give it the time it needed and deleted both of them) so yea I support you and many others with low subscribers.. ;)
Slope is the ratio between rise (height of y axis from point a to point b on the axis) and run (length of x axis from point a to point b on the axis) Its useful to figure out rate of growth, rate of decay, incline of an inclined plane, etc.
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.
5:40 this should be f(x)=(1/5) x instead of f(x)=5 x because for x=1, y should be 1/5 (as you show on the model graph), but your function states that for x=1, y=5 which is inaccurate to your graph.
Oh I think there was confusion because the graph's slope wasn't visually high, but I meant to have axis points on the side that showed it to be 5x. I don't think there was any indicator that it was f(x) = 1/5x or 5x so that is my bad, I should've made it more clear, thank you for the feedback though!!
@@ZDTF No, it's actually very true As an asian myself I can confirm a couple of parents make their children learn calculus in elementary, it's not very common that early but there are definitely some you would find at any school
Of course not, everyone learns at their own speed and if my video didn’t do the trick then I recommend watching other videos, it’s really all about trying until you get it!! You got this bro!!
hi there, 11th grade indo here too don't worry, you're good honestly i do find it strange how the national curriculum doesn't teach those things here, or at least doesn't teach them until much later. you don't really have to worry about it right now though, since there's a good chance you'll eventually learn it anyway. but if you want to learn these sooner, "The Organic Chemistry Tutor" is your guy. he's got a ton of introductory lessons on a wide variety of subjects (mostly IPA + math) (also unrelated but bro saved my ahh for fisika 😭🙏) and if you want a MUCH more in-depth look into math (or any subject), i suggest searching up books that follow a foreign curriculum (typically smth like cambridge or oxford). i've found these have a ton more material than the books we're given here, and really make sure you understand what it's teaching. (also try searching for the book for the grade below when doing this; there may be some things you haven't learned) anyway, that's all i can really do to help out in any way. hope you'll find these useful :D wish you luck on your endeavors :DDD
@@ZDTF higher dimensional functions and the calculus of those higher dimensional functions. Essentially, all of calculus 1 and 2 (and everything before that) consists of single variable functions (1 independent variable). One input, and one output. There’s an acid for each. This leads to a 2D function with one independent variable (hence the name single variable). Multivariate function by contrast can have multiple inputs for a single output (in some cases where complex numbers are involves such as with the Laplace transform 2 input 2 output relations cal also exist). Example of a 3D multivariate is anything in the form f(x,y) = z. You can also have 4D like f(x,y,z) = W and so on for any higher dimensional function. Derivatives (like explained in the video) aren’t the same for multivariate functions. You have multiple derivatives. There’s two fundamental ideas that govern derivatives in multivariate functions: directional and partial derivatives. The latter is technically a special case of the former. The idea being that for something like f(x,y) = z x and why both independently affect z. This is NOT the same as an implicit relation. x and y DO NOT have any relation to each other. This makes x and y constants relative to each other. For partial derivatives you are restricting the direction of your surface (in higher dimensions you don’t have curves, they are called surfaces) to allow for a curve that you can easily differentiate. By holding your y variable constant for example, it’s like you are interacting your surface with a plane (line in 2D are planes in 3D) the resulting cross section is a curve which can be differentiated the normal way with respect to x. The same process can be repeated by holding x constant and differentiating with respect to y. The result? In 3D, to have a line, you don’t have a point and slope. It’s a point and a *vector.* the slope was sufficient to show direction in 2D but since you have more axis in 3D you need something different. For all higher variate functions, you use vectors to show a direction. If you take your derivative with respect to x and y and form a vector with them, you get the multivariate equivalent of a derivative. This is what is known as the gradient. I basically just packed 1/5 of an entire calculus III semester into this comment and left out a lot of prerequisite knowledge to understand it. If it doesn’t make sense that’s probably just because I’m not a good teacher and calculus III is meant to be taught visually and not through words.
@@gragbuilds once you do get the patterns, you could show partial and directional derivative extremely well. I’m curious to see how you show Lagrangian multiplier as well (when you get to it, I think you will enjoy learning it). I’m not a very good builder in Minecraft, so even if I know what it should intuitively look like, I can’t quite visualize what that would look like in Minecraft. you should be learning multivariate functions (and all the calculus surrounding them) in calculus III. It’s also the same class which introduces vector calculus and TNB frames. Calculus III is the most visual/geometric out of the three semesters (four depending on what college you go to).
Calculus is a complicated topic. Essentially, all he's explaining is the idea of finding the velocity of the cart at any given point in time with a function representing its position at all times.
It’s okay if you don’t understand, this video is really a surface level foundation video, and I recommend you practice problems on your own to grasp the concepts even further!!
This is the best explanation for the limit definition of the derivative I have ever seen. Please do more calculus videos. I'm in calc 2 rn in college and this really helped me understand this better from calc 1.
Wow thank you so much! I tried something new with this calculus unit and I'm so glad it was helpful, next video will likely be on optimization so be on the lookout if you need help with that!!
@gragbuilds I barely remember that one. Gonna watch that for sure!
You should really take a physics course. Calculus is so much easier to understand when you actually know what exactly is going on and how the application can be used
@liamloveslunch I did but my fuckin teacher was dogshit lol. He was more concerned about teaching climate activism.
I took calc 2 this semester but I ended up having to withdraw bc i took calc 1 like 3 years earlier and didn’t remember shit🙂↕️🙂↕️
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!" 🤣🤣
Lol that’s the exact same thing in high school. In my senior year engineering class, I was bragging so much about how easy the class was while everyone else was struggling, and posting so many Minecraft tutorials on how logic gates work in electric circuits on the school engineering group chat 😂
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.
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.
WOW
This is the exact content that the world needs. INSPIRING!!!
THANK YOU!!!
Why are you here 😭🙏
@@jordythesheep These videos are brilliant.
bro we got minecraft math before gta 6
Nah, bro made us study 😭😭
1:46 it was 5 meters per second at at least one point though, mean value theorem
I was thinking that too I guess it s a small oversight
You assume that his velocity is continuous
yeah that one was my bad, i tried to fix it with the subtitle that said most but i was too lazy to rerecord that part haha
Yep , but still it has accelerated so it will go away soon
very good explaination, your work pays off, I learned
No problem!! Always makes me happy to see I helped people!!
Yoo this is inspiring! Your explanation is very clear and detailed!!! I can’t wait to flex on my class 😂
Thank you!! Hopefully i can help you flex those skills haha
great video! its refreshing to see more content about math being taught through another evirorment and still doing it succesfully :)
I watch minecraft , I watch maths
RUclips : What do you want
Me : yes
RUclips :
😂😂😂
fax
rip the algorithm
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. 🤔🤔
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!
Oooh you just gave me my next video idea haha thank you!!
Why is bro actually the goat 🗣️
Calculus Using Minecraft??? Man you are crazy!!!
Best explanation of derivatives I have ever seen 👏👏👏
I'm not gonna be taking calc for another 3 years but i like learning and this was cool
I would be interested if you could tackle vector calculus in Minecraft haha
Great video as always man 👍 one day your channel will surely blow up keep going I am with you..
Thank you so much!! I noticed your comment on my other video, so thank you for the continued support!! I'll continue to make videos!!
@gragbuilds I know how much efforts it takes to grow a yt channel (I have had tried a couple of yt channels in the past but couldn't continue since I wasn't able to give it the time it needed and deleted both of them) so yea I support you and many others with low subscribers.. ;)
"you've learned this before" well either i haven't or i forgor
It's just the formula for a gradient but the way it's presented looks complicated.
oh yeah its just a slope formula, just as you would use in linear equations like y = mx + b
Slope is the ratio between rise (height of y axis from point a to point b on the axis) and run (length of x axis from point a to point b on the axis)
Its useful to figure out rate of growth, rate of decay, incline of an inclined plane, etc.
m= slope, b= y-intercept, and the x and y is basically just putting in a point (also seen as (x,y))
It’s just slope intercept form
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.
Yeah of course!! Though I have to warn you because my computer science knowledge is super limited, I’m quite bad at it 😭
I found a pearl! I worked hard to get these RUclips recommendations 😅
This is super creative
Amazing explanation keep going with this content🥰
this showed up when im about to take calc in college in 3 weeks
5:40 this should be f(x)=(1/5) x instead of f(x)=5 x because for x=1, y should be 1/5 (as you show on the model graph), but your function states that for x=1, y=5 which is inaccurate to your graph.
Oh I think there was confusion because the graph's slope wasn't visually high, but I meant to have axis points on the side that showed it to be 5x. I don't think there was any indicator that it was f(x) = 1/5x or 5x so that is my bad, I should've made it more clear, thank you for the feedback though!!
ermm aCtUaLLy 🤓👆 ahh type comment
All graphs are not made with common intervals in different axes
@JyotipadaB you obv don't appreciate how awesome this video is.
@@dylanmercergo7853 I do I do 😎👍
Thank you. I could finally teach my older sister how to math and not be dishonor to my asian family.
Why wasn't this there when I was in 5th grade?
becasue this is caluclus
@Banaannaa Asians here learn calculus as their abcd 😭🙏
@JyotipadaBnot well explained by most 😢
@JyotipadaBstop the cap
Google said 16-18
@@ZDTF No, it's actually very true
As an asian myself I can confirm a couple of parents make their children learn calculus in elementary, it's not very common that early but there are definitely some you would find at any school
Tbh I had no clue what the beginning what about until u talked about infinitely small
I like the funny blocks.
I'm in 11th grade and i can only understand until 3:58. I'm an indonesian, is that bad? Like genuinely asking.
Of course not, everyone learns at their own speed and if my video didn’t do the trick then I recommend watching other videos, it’s really all about trying until you get it!! You got this bro!!
hi there, 11th grade indo here too
don't worry, you're good
honestly i do find it strange how the national curriculum doesn't teach those things here, or at least doesn't teach them until much later.
you don't really have to worry about it right now though, since there's a good chance you'll eventually learn it anyway.
but if you want to learn these sooner, "The Organic Chemistry Tutor" is your guy. he's got a ton of introductory lessons on a wide variety of subjects (mostly IPA + math)
(also unrelated but bro saved my ahh for fisika 😭🙏)
and if you want a MUCH more in-depth look into math (or any subject), i suggest searching up books that follow a foreign curriculum (typically smth like cambridge or oxford). i've found these have a ton more material than the books we're given here, and really make sure you understand what it's teaching.
(also try searching for the book for the grade below when doing this; there may be some things you haven't learned)
anyway, that's all i can really do to help out in any way.
hope you'll find these useful :D
wish you luck on your endeavors :DDD
jeez i wrote a lot 💀
i never write this much lmao
this is cool but idk even what is calculus(the only thing i understood is velocity). im also just 15 years old lol.
I’m so sorry you’re 15
@@De-gen-b9z ok forget the age i dont know what is even calculus, i dont know much about it.
@@gramioerie_xi133 uh i edited my comment so i makes sense..
im 14 and i invented calculus when i needed to solve a math question and i have deep understanding in complex numbers. e = -1 ^(1/i * pi)
@Banaannaa o_o thats amazing. You seems to have good problem solving skills.
I am curious how you would explain multivariate functions with Minecraft. It seems like it would be a lot of building.
Whayst is that
That's for once I learn it haha, but definitely would be really cool to build some of those patterns!
@@ZDTF higher dimensional functions and the calculus of those higher dimensional functions. Essentially, all of calculus 1 and 2 (and everything before that) consists of single variable functions (1 independent variable). One input, and one output. There’s an acid for each. This leads to a 2D function with one independent variable (hence the name single variable). Multivariate function by contrast can have multiple inputs for a single output (in some cases where complex numbers are involves such as with the Laplace transform 2 input 2 output relations cal also exist). Example of a 3D multivariate is anything in the form f(x,y) = z. You can also have 4D like f(x,y,z) = W and so on for any higher dimensional function.
Derivatives (like explained in the video) aren’t the same for multivariate functions. You have multiple derivatives. There’s two fundamental ideas that govern derivatives in multivariate functions: directional and partial derivatives. The latter is technically a special case of the former. The idea being that for something like f(x,y) = z x and why both independently affect z. This is NOT the same as an implicit relation. x and y DO NOT have any relation to each other. This makes x and y constants relative to each other. For partial derivatives you are restricting the direction of your surface (in higher dimensions you don’t have curves, they are called surfaces) to allow for a curve that you can easily differentiate. By holding your y variable constant for example, it’s like you are interacting your surface with a plane (line in 2D are planes in 3D) the resulting cross section is a curve which can be differentiated the normal way with respect to x. The same process can be repeated by holding x constant and differentiating with respect to y. The result?
In 3D, to have a line, you don’t have a point and slope. It’s a point and a *vector.* the slope was sufficient to show direction in 2D but since you have more axis in 3D you need something different. For all higher variate functions, you use vectors to show a direction. If you take your derivative with respect to x and y and form a vector with them, you get the multivariate equivalent of a derivative. This is what is known as the gradient.
I basically just packed 1/5 of an entire calculus III semester into this comment and left out a lot of prerequisite knowledge to understand it. If it doesn’t make sense that’s probably just because I’m not a good teacher and calculus III is meant to be taught visually and not through words.
@CalculusIsFun1 ngl
I didn't understand anything after the first word but thanks for writing such a big essay
@@gragbuilds once you do get the patterns, you could show partial and directional derivative extremely well. I’m curious to see how you show Lagrangian multiplier as well (when you get to it, I think you will enjoy learning it). I’m not a very good builder in Minecraft, so even if I know what it should intuitively look like, I can’t quite visualize what that would look like in Minecraft.
you should be learning multivariate functions (and all the calculus surrounding them) in calculus III. It’s also the same class which introduces vector calculus and TNB frames. Calculus III is the most visual/geometric out of the three semesters (four depending on what college you go to).
Clicked cause neuron activate seeing Katana Zero skin 😈
One of my all time favorite games!! Its an eternal wait for the dlc though 😢
"Twenty-eight years in wait for that godforsaken DLC."
Free DLC is very cool. I hope to see more of my boy Fifteen, though 🥺
Good
❤👍
Aech ❌
Haech ✅
The only correct way to say it 😤
bro used minecraft instead of mamin to create animation
Hey I'm doing this rn In physics
I dont understand😢
Calculus is a complicated topic. Essentially, all he's explaining is the idea of finding the velocity of the cart at any given point in time with a function representing its position at all times.
It’s okay if you don’t understand, this video is really a surface level foundation video, and I recommend you practice problems on your own to grasp the concepts even further!!
Your graph at 2:06 is wrong... This makes it seem as if you went backwards for some time, before coming to a stop and shooting forward again.
oh yeah that graph is just an example one haha, it's just an arbitrary one
Wow, terrifying 😱😭. But seriously, great video!
Algorithm has brought me here
666th like