Another cool general result based on this is that if abc=a+b+c, then atan(1/a)+atan(1/b)+atan(1/c)=π/2

It is my favorite visual proofs.

All them very elegant ✨️ I sincerely hope we get to see more of you Dr Peyam :)

Hi Dr. Peyam! I thought the complex method would be my favorite until I saw the slope arguments, and now I can't decide between any of them. They're all so good!

Wow this channel has really grown over the years. Congrats Dr Peyam!

Great Dr

Amazing how maths are conected in many ways

Amazing sir 💫 really fantastic one ✨

@YuvrajSingh-oq9rt

Жыл бұрын

@Dr Peyam sir i have doubt in one question can you help me please

Nice miniature! The methods in my order of preference: 1, 2, 3. I like very much the interplay between geometry and complex numbers illustrated by method 1. And I like the geometric setup of method 2 better than that of method 3 (which I find more complicated).

good.

Happy New Year 2023 Doc !! 🇦🇺🇺🇲

@drpeyam

Жыл бұрын

You tooooo

Hello sir, could you made a video watson's triple integral..

Could use arctan addition formula as well but have to be careful about multiples of pi but we have pi/4

Hi Dr Peyam, could you make a video about finding a function whose product derivative is the function itself?

You should write your own math book man. You can completely change the way people see math

@drpeyam

Жыл бұрын

Thanks so much!!

Hey Dr peyam can you upload a video about exponential integral , sine integral, cosine integral from beginning

@drpeyam

Жыл бұрын

I think I did that one

I think also there is another condtion (ab + ac + bc > 1) otherwise the sum will be 0 (2pi)

How can I get a copy of the thumbnail image? 💪

Excuse me Dr. Peyam, can you make a video about how to know the order and the degree of differential equations like this for example : e^(y``) - y=x² Of course, here the order should be 2nd order, but what about the degree? Bcuz I found some say that it's undefined as long as y is an argument of the logarithmic function (when we put this equation on the linear form)✨ And other ppl say the degree is 1 bcuz they focus only on the derivatives if they're arguments or not in other functions, but don't care about y itself. So can you please clarify this concept to make it clearer 🙏✨

@drpeyam

Жыл бұрын

That’s too specific of a question for a video

a, b, c needs some conditions, not only a+b+c=abc

The first one and yes.

@stevenmellemans7215

Жыл бұрын

Atan(1)+atan(2)=atan((1+2)/(1-1*2)=atan(-3)=pi-atan(3)

I once saw the second (geometric) method in a KZread video and liked it very much, I guess I am a fan of geomtric methods. By the way, why are you talking as if there is someone sleeping?

@drpeyam

Жыл бұрын

I didn’t want to disturb my math office neighbors 😅

@lorenzovillani3102

Жыл бұрын

@@drpeyam you are very very kind and polite. Really appreciate that

@YuvrajSingh-oq9rt

Жыл бұрын

​@@drpeyam sir i have doubt in other question can you please help me this out.

How do you pronounce "Machin" in "Machine-like formula"?

If f(x)=x-(1-x²)½ then find out rang of function .please slow sir

where've you been dr peyam?!!? i miss u ;-;

@drpeyam

Жыл бұрын

I’m alive, I just have tons of work right now 😭😭

somebody tell me how to solve this problem please🙏 especially part(A)，I have no idea Let f : (-∞, ∞)--> (-∞, ∞) be a differentiable function such that f has a local minimum value f(−1) = -1, and the graph of y = f(x) contains an inflection point (0, 0), with a slant asymptote y = x + 1. (A)Prove that such a function ƒ exists by constructing a possible function. (B)Prove that there exists some a (C)Show that there exists some b> 0 such that f'(b) > 1.

Hi. I have a big challenge for you what is the minimum distance between two points belonging to the same 3d surface f(x.y)

@drpeyam

Жыл бұрын

Too general

@user-nl9gp8fb5q

Жыл бұрын

I like your videos Do it pls

0:27 -10 sure is real! That got me so hard

most overpowered trick: proof by calculator

I found you from black pen red pen)

bro has been milking maths for years and it's fucking impressive.

@drpeyam

Жыл бұрын

Awww thank you 😊

@llawliet7163

Жыл бұрын

@@drpeyam Adding to my original comment what I meant was it's impressive how you have been covering relatively hard things for years and they are all very relevant. Personally I always learn something that makes my general approach to mathematics better. One would have thought you would run out of equations.