I originally recorded this 3 years ago. I edited it for RUclips's format this weekend. It was fun to see some of my older stuff. Different pace, crazy hair, choppier animations etc.
High school math teacher here, I’m a big fan of your content. Keep this series going, there is a lot of cool stuff in calculus and seeing it done so well is a huge help for students.
I dropped out of calculus in high school because I think I was lazy despite loving math, but also the guy teaching was senile and couldn't remember what he'd taught and what he hadn't, and I couldn't actually understand him much of the time... In any case, I guess I finally get to learn it! Let's keep going!
lol I had a similar experience with AP calc in HS. Except my teacher was very eccentric. didn’t teach us how to derive functions, just that anything derived had one less power and you bring the previous power down as a coefficient. I mean…. It works, but it’s not how I’d teach the fundamentals of derivatives. He had a very unique way of understanding and teaching concepts and I wish I could have given more effort in his class.
started learning calculus in my math class this year, and you made it make sense much more than my math teacher, which she is probably one of the best math teachers in my school. so i appreciate it!
One of my teachers just taught us the formulae but never gave us the reason or even explain what a dervative is. It was when another teacher taught me the basics in college. This will help, thank you!
This is a common problem with high school. For instance, I was taught that sin²θ + cos²θ = 1, but it wasn't until I took first year calculus in university and shown it using a unit circle that I suddenly understood why that formula was true, and it was so easy to understand I don't know why it wasn't taught to me to begin with.
Yours is currently my favorite Maths channel on RUclips. Love your style and your explanations. 🙂 Please, do continue making Calculus videos. I'll need to start studying (well, reviewing, it, technically, as I already took classes years ago) soon and it would definitely be a great help.
No one explained to me things like this when I was doing calculus so I didn't enjoy it because I did not find it applicable anywhere until uni. Now I appreciate mathematics and how it solves many problems and simplifies them in the process
I always loved the slopes. Such a fun intuitive way to understand derivatives. The "auto mode" is efficient, but the breackdown is such a joy. [How exciting]
Derivatives and how they relate graphs to other graphs is where math really started to open up to me. Love calculus. That said, you spend a *lot* of time on limits, because functions being continuous is what allows these calc tricks to work.
I understood calculus when I took it in high school . . . in 1977. Been trying to get it back for the past few years, so I'm eager to see more of these.
I eeked by to get a math degree 20 years ago. I enjoyed numbers and number theory. I still do. But I never learned this approach to the first derivative. It may be that I wasn't ready to grok it then, but this is so intuitive. You taught the "why" of the first derivative in 5 minutes. Thank you. On a side note...Life is like calculus. We exist in limit-space...not discrete space. I like to think I think like this, but we'll see...It's hard to know your position without losing track of your direction. Also this is why I like to listen to records and take film photographs.
I'd love to see a video explaining integrals. I realize they're the opposite of derivatives, but I missed that entire half of my calculus class due to army training that semester, so they've always been a challenge to me.
Going from the equation: slope = (y2-y1)/(x2--x1), to the equation y=mx+b is not clear unless the value or function properties of m are explained or defined. is m a constant? is it a function? is it maybe that it is just me and the meaning is obvious? Another sentence there might have helped. Thanks, Andy, your videos are great :-) and exciting
andy please tell me how are derivatives 100% precise ? i really do think that when we use limits we would be extremely close to 100% precision but not 100% exactly i feel like we would get something like 99.99999999999999999999999% precise
bro is going faster then the average math teacher when you look away for a split second and the whole board is filled up and he starts erasing it all 😭😭😭😭
I originally recorded this 3 years ago. I edited it for RUclips's format this weekend. It was fun to see some of my older stuff. Different pace, crazy hair, choppier animations etc.
Can you continue calculus
Lower ceiling, just as exciting
Please keep doing calculus. I suggest creating a playlist for calculus. I want to learn calculus again 😅. Thank you!
Please make another video about calculus, Andy. It really helps
We love the crazy hair; also this was an amazingly clear explanation of calculus despite the brevity. Excellent stuff!
High school math teacher here, I’m a big fan of your content. Keep this series going, there is a lot of cool stuff in calculus and seeing it done so well is a huge help for students.
This is the best motivation this guy can ger 🎉
Seeing this proof develop in real time was a breath of fresh air. Love this format.
Oh snap he is actually doing calculus now
I dropped out of calculus in high school because I think I was lazy despite loving math, but also the guy teaching was senile and couldn't remember what he'd taught and what he hadn't, and I couldn't actually understand him much of the time... In any case, I guess I finally get to learn it! Let's keep going!
lol I had a similar experience with AP calc in HS. Except my teacher was very eccentric. didn’t teach us how to derive functions, just that anything derived had one less power and you bring the previous power down as a coefficient. I mean…. It works, but it’s not how I’d teach the fundamentals of derivatives. He had a very unique way of understanding and teaching concepts and I wish I could have given more effort in his class.
One of the best and laymen explanation I have seen in my life, absolute beauty.
This filled in blanks I was missing for years and didn't even realize. Thank you!
This video’s way too being underestimated. Deserves much more view! The way how you explain those concepts succinctly is remarkable! Thanks!
This is hands down one of the best calculus tutorial
started learning calculus in my math class this year, and you made it make sense much more than my math teacher, which she is probably one of the best math teachers in my school. so i appreciate it!
One of my teachers just taught us the formulae but never gave us the reason or even explain what a dervative is. It was when another teacher taught me the basics in college. This will help, thank you!
This is a common problem with high school. For instance, I was taught that sin²θ + cos²θ = 1, but it wasn't until I took first year calculus in university and shown it using a unit circle that I suddenly understood why that formula was true, and it was so easy to understand I don't know why it wasn't taught to me to begin with.
@@keith6706 that's wild - even I don't know what the MEANING is but yeah the formula was taught to me too
Yours is currently my favorite Maths channel on RUclips.
Love your style and your explanations. 🙂
Please, do continue making Calculus videos.
I'll need to start studying (well, reviewing, it, technically, as I already took classes years ago) soon and it would definitely be a great help.
I want you to continue this series
funnies part is, I dont even need to know this stuff anymore, but relearning it is just so much fun, cheers Andy
This is amazing. How I wish your content was available 15 years ago. Would have helped me alot.
Thank you! I've watched numerous videos, but yours provided the clarity and connection. Keep it up!
Wish I had this 5 minute lecture back in college. It would have been very helpful.
You explained what every other method could not explain in a way I could understand. Thanks so much for the help 😮
No one explained to me things like this when I was doing calculus so I didn't enjoy it because I did not find it applicable anywhere until uni. Now I appreciate mathematics and how it solves many problems and simplifies them in the process
I had to check it out and think the 'How exiting' was added on later. Thanks for keeping it. The today pace is better. Very good explanation!
I always loved the slopes. Such a fun intuitive way to understand derivatives. The "auto mode" is efficient, but the breackdown is such a joy. [How exciting]
This is great. I thought I once learned this, but either I’ve forgotten all of it, or I never really understood. Thanks for making it easy.
Very good videos 👍👍 keep it up
To geometry to calculas , epic glow up please continue this series
Good morning! I needed this!
Derivatives and how they relate graphs to other graphs is where math really started to open up to me. Love calculus.
That said, you spend a *lot* of time on limits, because functions being continuous is what allows these calc tricks to work.
I understood calculus when I took it in high school . . . in 1977. Been trying to get it back for the past few years, so I'm eager to see more of these.
mind fucking blown good sir, thank you for your service. you have done, in 5 minutes, what 2 college professors couldn't do for me in a year.
Very fundamentally explained. How exciting!
Best memory recover video about calculus ever!
Calculus seems exciting
Keep up the great work! I am a retired middle school math teacher and I am enjoying your videos ...😊
Holy shit, you essentially just answered all the questions I still had after an entire semester of calc 1 in this one short video 😂
That's the fundamentals we tend to miss. Thank you for the eye opener.
I eeked by to get a math degree 20 years ago. I enjoyed numbers and number theory. I still do. But I never learned this approach to the first derivative. It may be that I wasn't ready to grok it then, but this is so intuitive. You taught the "why" of the first derivative in 5 minutes. Thank you.
On a side note...Life is like calculus. We exist in limit-space...not discrete space. I like to think I think like this, but we'll see...It's hard to know your position without losing track of your direction. Also this is why I like to listen to records and take film photographs.
universe space is actually discrete, but voxels are so small it's not useful to think about it this way
Fantastic explanation. Crystal.
Speechless, just amazing!
This will help me keep up with helping my kids through high school. Thank you.
This brings back so many memories from high school math class.
Really nice intro to derivatives!
you are unlocking core memories from my 1999 AP Calc I
Dang, where were you when I was studying calculus in college. Very crisp explanation that I’ve never seen before.
I'm going to have to watch that again, but this is genuinely the first time I feel like I have any idea at all about calculus
I'd love to see a video explaining integrals. I realize they're the opposite of derivatives, but I missed that entire half of my calculus class due to army training that semester, so they've always been a challenge to me.
Bedhead Andy yeeting the calc at us from the past.
I did learn Calculus but I do love seeing it from another POV.
How exciting!
Please make a whole series about calculus from the most basic to advanced. By the way thank you for this video.
Tysm
I really needed such an explanation at the moment
You just explained what ive been doing qt school for an entire year.
More.
This is like going back to high-school, but this time I get it.
Derivatives are the easy part, though, it's integrals what I always struggled with.
This is really well done.
You should do a series that follows the Calc BC curriculum.
Love this!
i feel like ive been blasted by an energy ray of knowledge and I am now trying to comprehend
Loveeeee your videos
How to integrate all the y values of the curve for a range of x?
OMG!!! We got Calculus. I hope we get some more of Calculus!!🎉🎉🎉❤❤❤
Andy please come to Brazil ❤
Man this was great
Where was this when I was learning calc, now I’ve already finished advanced vector calculus
great intro thanks man
Hey Andy, what software do you use to make these awesome animations ?
For my JEE 2025 |
Thank you 💖
Love the hair
What about integrals? Or the fundamental theorem of Calculus
how exciting
Dude, Thank you!
Continue this series please
Could you do the general case of x^n next?
Going from the equation: slope = (y2-y1)/(x2--x1), to the equation y=mx+b is not clear unless the value or function properties of m are explained or defined. is m a constant? is it a function? is it maybe that it is just me and the meaning is obvious? Another sentence there might have helped. Thanks, Andy, your videos are great :-) and exciting
Hmm
After watching this I should pull up my old math textbooks from college and get to work on them, since I’m going back to college
I hope you give us name of essential course for mathematics science for people who love maths
finally understood why the derivative of x^2 is 2x
Im a bit confused, why can't we just differentiate instead?
Is this like the explanation for differentiation
so genius
Hello, can I ask what software do you use to draw the curve ?
Can you prove that d/dx(ln)=1/x?
andy please tell me how are derivatives 100% precise ?
i really do think that when we use limits we would be extremely close to 100% precision but not 100% exactly
i feel like we would get something like 99.99999999999999999999999% precise
More. I need refreshers.
3b1b also has a good video series about calc btw. They’re really good but also kind of a snooze fest.
How f(x+h) = (x+h)²
Please explain
Cool!
I just learned 1 week of worth Calculus lectures at my University in 5 minutes.
bro is going faster then the average math teacher when you look away for a split second and the whole board is filled up and he starts erasing it all 😭😭😭😭
you are good
he just speedrun an hour-long lecture
Me who used first principals and used rule d(x²)=2xdx 😂😂😂😂
Just started calc at uni and this popped up. Now I'm scared.
Omg do you have Integral Calculus??
🔥🔥
Woohoo he actually did it
Where were you 45 years ago when I was trying to learn this?
Bro, where were you when I was talking to learn this in high school? I mean, you were probably in kindergarten, but still
I didn't understand why it is written as lim
*_"Too much hair!!"_* -- River Tam
Hey look! It's the Power Rule!
Andy math ❤
Thank you because my teacher did not explain this well
It's calculus, time to take the hat off
This is an intro. My god