God i remember when i was watching this like 4 years ago when i was doing my a levels. Your channel has grown so much! you deserve it, thanks for everything
You need brackets around the r to denote the r-th derivative of f and g. The superscript on the f and the g should be (r) and not just r. The way it is currently written is given the r-th order composite of f. You have got the notations d^rf/dx^r and f^(r) mixed up.
So I guess it would be fair to say that Taylor's series is a generalization of Maclauren's series. I guess Colin Maclauren was into Taylor's series even before Brooks Taylor "invented" the taylor series? I wonder if any of these two guys would be salty towards each other.
thank you so much for this :) i was always confused between my teacher writing this in the way of the second line and the internet showing me the third line xP
In the first instance, we let g(x)=f(x+a). So where ever there exists g(x) it becomes f(x+a). In the second instance, we let x=x-a, so where ever there's x, it becomes x-a
several mistakes spotted, flawed logic too, the alt formula you are saying if we replace bla bla bla BUT you dont say WHERE. also by that logic in the first one you said "then we multiply by x" but on the second one you said "we multiply by x-a" but YOU NEVER SAID WHY!
God i remember when i was watching this like 4 years ago when i was doing my a levels. Your channel has grown so much! you deserve it, thanks for everything
Yep, it is still going. Good luck.
...why are you here if you finished your a-levels though?
@@remittri learning never ends, and Taylor series are a pain in the ass at university too.
You need brackets around the r to denote the r-th derivative of f and g. The superscript on the f and the g should be (r) and not just r. The way it is currently written is given the r-th order composite of f. You have got the notations d^rf/dx^r and f^(r) mixed up.
So I guess it would be fair to say that Taylor's series is a generalization of Maclauren's series. I guess Colin Maclauren was into Taylor's series even before Brooks Taylor "invented" the taylor series? I wonder if any of these two guys would be salty towards each other.
At 3:35, I thought you’re replacing all xs with x+a. But you just wrote down x??
exactly, i didnt understand that either
x=0
You save my life every day
Saving is what I like doing. Best wishes.
thank you so much for this :) i was always confused between my teacher writing this in the way of the second line and the internet showing me the third line xP
hi sir how does diffferentiating f (x+a) and then letting x=0 gives you f'(a) ?
My concentration resonates from his accent to the cursor then to the point he is talking about
Thanks a lot Sir that really helped
Good. Thanks for watching.
Brilliant. Thanks so much! This video really helped to fill in the gaps of my understanding.
Very useful, easy to understand for beginners
I really found this series useful. Thank you! Currently studying the FP1
Interesting topic. MTH 204 👍🏽
You say that x it 0 but you use x instead of 0 in for example f'(a)x. Why is that?
Thank you for your video! It’s very helpful 🙌🏻
Thanks for watching
Thank you
In the expansion of f(x+a) you said to replace all x's with x+a but you didn't do this. Why?
In the first instance, we let g(x)=f(x+a). So where ever there exists g(x) it becomes f(x+a). In the second instance, we let x=x-a, so where ever there's x, it becomes x-a
@@monzur1947 let x=0 and replace x with x-a, mean the first term is f((x-a)+a) hence f(0) but, why in 5:28 f(a)?
Misleading. Not a derivation of the Taylor series but just some simple applications.
Do we need to prove this formula in the exam?
+skwli For Edexcel no.
@@ExamSolutions_Maths can it be proven though
does videos fro. 8years aho work? yes😜
So thanks for washing XD
several mistakes spotted, flawed logic too, the alt formula you are saying if we replace bla bla bla BUT you dont say WHERE. also by that logic in the first one you said "then we multiply by x" but on the second one you said "we multiply by x-a" but YOU NEVER SAID WHY!
can you create a video for the corrections
Dude, you don't really understand what derivation actually means