The best explanation! I like how you explained the reason why we use limits. I wish I saw this video earlier

Beautiful visuals man! Is there also a possibility for you to do this demonstration but with x->a replaced with the h->0 where h represents height proof for derivatives?

@MathVisualProofs

Жыл бұрын

Tried to do that here but ran out of time :). I’ll see if I can do a Follow up

@DeanCalhoun

Жыл бұрын

simply take this formula and substitute a with x+h. you will get the familiar formula, and if x is approaching x+h, then h must be approaching 0

I properly understood what a derivative is after two years of learning calculus. Same goes for why limits are necessary. Thank you very much for this short and highly informative video!

KZread without distraction videos 🗿🗿🗿🗿

Best explanation on KZread please upload the entire video of calculas...Your explanation is really great.......

@nishantkumarsingh5002

10 ай бұрын

Yes

Magnificent graphic explanation 👏👍😊

@MathVisualProofs

Жыл бұрын

Glad you liked it!

I simply love your channel, it reminds me why math is beautiful!

@MathVisualProofs

Жыл бұрын

Thanks!

Where the hell was this creator when I was needed the most 😢 Btw I completed my school 14 years ago. Anyways I wished I would have got the exposure to such informative videos earlier...life would have been definitely different today.

Back when these videos to me were gibberish now make me realize how much easier I would've had it if I had studied calculus by trying to understand the math instead of trying to force myself to do the math problems.

this youtube short was amazing for review. Thank you!

Beautifully explained, thanks

such a clear explanation ! nice work

OMG👁️👄👁️ What a explanation

*Step 1:* Construct a tangent line at (a, f(a)). *Step 2:* Construct a right triangle whose base is 1, and whose hypotenuse is on the tangent line. (Ideally at (a, f(a)).) *Step 3:* Measure the height of that right triangle; that should be f'(a).

@MathVisualProofs

Жыл бұрын

How do you construct the tangent line?

@Inspirator_AG112

Жыл бұрын

@@MathVisualProofs: I was mainly talking about if the curve was a physical object or drawn on paper.

@tomedgar57

Жыл бұрын

@@Inspirator_AG112 :) that works

I wish I could love this video bc you don’t know how much this changed my perspective

Best explanation...

@greywolf7422

Жыл бұрын

It was good during the first 20 seconds, but such an explanation needed at least 2-3 minutes to let the various variables in the presentation settle with the audience. Good in theory maybe if it was done in a regular video format or linked to in the shorts description as a full video. Not all students who come across such explanations will be able to follow such a rapid pace explanation, especially the last 20-30 seconds.

I can't tell you how many videos I watched on this topic that were like 10 minutes long and confusing as hell, and this tiny video made it make sense.

Nice explanation🙏🙏🙏🙏 sir

@MathVisualProofs

8 ай бұрын

👍😀

Holy fucking cow biscuits! I've been struggling with this exact thing the last few days and I finally get it!

@MathVisualProofs

11 ай бұрын

👍😀

Can you do something similar but for the fundamental theorem of calculus? Thank you, your videos have helped me a lot ❤️.

Very good❤

Your explanation make it so easy to understand! Literally only have introductory knowledge and limits and you still managed to do it. Only thing im confused about is why would you need to find the instantaneous rate of change?

@MathVisualProofs

9 ай бұрын

It’s nice to know how fast a process is changing at any instant. Then you kind of know what to expect. You can study rates of rates of change and then get a better picture. For instance you can tell if emissions are increasing or decreasing and if they are decreasing at a decreasing rate. All of this can be done analytically once you have a model of the process.

Thanks for nice video ❤❤

Thank you very much

Beautiful.

Love you from India.

@MathVisualProofs

10 ай бұрын

👍😀

@nishantkumarsingh5002

10 ай бұрын

Congratulations for the susses of Chandrayan 3...🎉

Just WOW

Nice explanation. Derivative is based on secant line

Thank you so much it really helped a lot😊

amazing

My HS physics teacher used the same visual idea when he taught us derivatives for the first time.

@MathVisualProofs

Жыл бұрын

Glad to hear it!

Manim at its peak xD

Good!

@MathVisualProofs

Жыл бұрын

Thanks!

Bro cooked my brain and ate it

Every Calculus student just groaned at having to do six hundred problems using the formal definition of a derivative

this is great for functions between one-dimensional vector spaces, but i prefer the interpretation of "how a small movement in the input spaces changes the output space" interpretation to generalize to multi-dimensional spaces

Difícil para mi ha sido comprender antes, pero con estos simples videos, me aparece la Claridad.

@greywolf7422

Жыл бұрын

It was good during the first 20 seconds, but such an explanation needed at least 2-3 minutes to let the various variables in the presentation settle with the audience. Good in theory maybe if it was done in a regular video format or linked to in the shorts description as a full video. Not all students who come across such explanations will be able to follow such a rapid pace explanation, especially the last 20-30 seconds.

hey! i love this explanation, it's clear and concise! could you do the same for the second derivative ?

@MathVisualProofs

Жыл бұрын

Hmm... the second derivative is just the derivative of the derivative function... so it is just this again but applied to the derivative. Or do you mean something else?

One day we'll develop maths that directly address Zero and Infinity ♾️/0 and finally put clothes on all the emperor's theoretical theories.

And you can use the angle differential to bypass computing total differentials by simply taking the anti tan of dy/dx.

So what will be the graph of double differentiation of that curve y=f(x)

You explained this in under a minute compared to an hour lecture I ha d

I haven’t taken calculus yet. This sounds like a different language

It's Lagrange's Mean Value Theorem

OMFG everything clicked!!!!

Cantor set: I'm about to destroy this man whole career

Can you do this but for the epsilon delta concept?

@MathVisualProofs

Жыл бұрын

I am sure I can't do a better job than 3blue1brown: kzread.info/dash/bejne/nZp6lpKGmbadqqQ.html

Rolle's theorem lore

I learned the Korean alphabet in less than 2 weeks, about the same amount of time for the Japanese alphabet, but this did not compute. Lol

please please please please, do this with the limit definition i need it! Thank you for your work, is super helpful

You'd be able to make a good video on riehman sums

damn everything just clicked, im not even that good at maths❤️

Or just d approaches 0 and delta = d of delta(y)/delta(x).

To me the most interesting thing is any tangent passes through 2 contiguous points and not 1! It's unfortunate that nobody teaches this, but it's true

@kbin7042

Жыл бұрын

That's false

Nice explanation. Only thing is the wording: "instant rate of change". Its an oxymoron. Instant describes a specific point in time. Change is a timespan so its not the same

Sir , this has helped me deepen my understanding of derivatives on an intuitive level but I have query, why would we want to the instantaneous rate of change of cosx is sinx , while this may sound stupid I cannot understand the usage of this outside of scope of displacement graphs (to find speed).

wait wait instant rate of change???!??? htf can you find it i took a photo of a uniformly moving car in a straight line tell me the acceleration of the car

I know that the derivative at x=a is equal to the slope of the tangent line at x=a, but how can we be sure of it? Isn't it just a very close approximation to say that the derivative is the slope of the tangent?

What is an alarming wave called? A warning sine.

LMVT

What about d²y/dx² Is it rate of change twice?

Bruh this video should be in every class that is starting derivative lessons, in our school they said "Limit", "Mr. what is Limit" "IDK it's just like that" Not even kidding

Please the proof of the derivative of the product of two fonctions

@MathVisualProofs

Жыл бұрын

I’ll see what I can do.

Are you on the manim discord channel?

@MathVisualProofs

9 ай бұрын

Sometimes but rarely.

Engineering student: x=a

0:00

What apk do you edit math animation like that?

@MathVisualProofs

Жыл бұрын

I use manim for these animations.

Nice

3blue1brown Khan Academy Crash course Organic chem tutor None of their videos led me to understand this bt your 60 sec short did I thank you very much 🙏

@MathVisualProofs

11 ай бұрын

Glad to hear that

@nishantkumarsingh5002

10 ай бұрын

Are you Indian

@MathVisualProofs

10 ай бұрын

@@nishantkumarsingh5002 I am not.

So limit is to find 0/0, without dividing 0 by 0 😮

HOLY SHIT I THINK I GOT IT HAHAHA

What about the visualization of derivative of sin(x) to cos(x)

@MathVisualProofs

29 күн бұрын

It’s on my channel. Wide format has many details. Short shows just the way to think about derivatives.

It is a+ or a-?

I don't understand how is that change. Like it's just the point what's changing

When we say Derivative of sinx What do we mean Do we mean finding the slope of tangent of whole graph or what, please help as I am new in calculus

@MathVisualProofs

Жыл бұрын

This means finding the function that outputs the slope of the tangent line (or instant rate of change of the sine function at the right input) . Check this one : kzread.infoOD6WBF5lVwA?feature=share

@Dhruv45124

Жыл бұрын

​@@MathVisualProofs ok i got that! 😊 I have one doubt left-: How can you have a variable 'x' on x axis if the graph is of y=f(x) Because I have seen that, there exists points other than x on x axis for example, b, c, d etc... And when we put their value we get f(b), f(c) respectively. Also thank you

@ScarletEmber64

Жыл бұрын

​@@Dhruv45124 basically, the x-axis represents x itself There doesn't really exists a "point x", x just represents all possible values we can input into our function so when we say that we have f(c) for example, that just means we are setting x to be equal to any arbitrary point, which we call c here, and get the value for f(x) at that point

Hello hello you are explanation is so beautiful but I can't understand English so much😢

Pretty! But why would one wish to know that?

@MathVisualProofs

Жыл бұрын

If you know the current state of a process and how it is changing, you can get a good feel for where the process will be in the future or where it was in the past. This is fundamental for studying anything that changes over time.

What if limit doesn't exists ?

@MathVisualProofs

11 ай бұрын

Then the instant rate of change is undefined at that point

I do believe lim fubared me

Not instant very very impossibly close but not instant

Great explanation but "instant" and "rate of change" don't make sense next to eachother

@Boltkiller96

6 ай бұрын

you came here after watching 3b1b's video right?

@scrappy4170

6 ай бұрын

@@Boltkiller96 it's just something in the back of my mind and now when I see people say that, it just annoys me a bit

@epicchocolate1866

5 ай бұрын

@@scrappy4170 fine the infinitesimal change variation in y wrt an infinitesimal change in x

Instantly rate of change? That's an oxymoron.

@MathVisualProofs

Жыл бұрын

How do? There is the rate of change at an instant and there is the average rate of change. Calculus explains how to find the instant rate of change using a limit of average rates of change.

Does the limit give the exact value of the slope at that point? It is a bit difficult for me to understand as the limit actually talks about what is happening around that point that than that point itself right? Please help me as I am new to calculus

@MathVisualProofs

Жыл бұрын

The limit is the exact value of the tangent line slope (provided it exists)

@scrumdiddlyumptious979

Жыл бұрын

@@MathVisualProofs thank you!

So f'(x) = 0/0?

@MathVisualProofs

Жыл бұрын

In a sense.

The word “instant” describes a concept that is without time. “Change” can only occur with time. The phrase “instant rate of change” is semantically nonsensical…

@Boltkiller96

6 ай бұрын

i think he uses instant to refer to a very small time but yeah this is stupid

@epicchocolate1866

5 ай бұрын

Well in other contexts it not. The velocity is the instantaneous rate of change of position

Congratulations. You successfully made me understand this LESS. 0/10

@MathVisualProofs

10 ай бұрын

Interesting. So how do you make sense of the derivative then?

Not necessary for every day life

@idlesquadron7283

11 ай бұрын

OK! a lot of things aren't and that's ok

perfect video ! Are you using manim for animations my friend ?

@MathVisualProofs

Жыл бұрын

Yes I am!