Thank you so so much for these videos! I've done my A levels maths several years ago and have forgotten most of the stuff (but really didn't forget much, because I haven't really learnt much in the first place, it was all procedural learning at that time). Now I am relearning (well actually learning it "properly") to enable me to learn statistics, specifically, I am learning the proofs of propositions in the theory of Maximum Likelihood Estimation.Your videos make me understand so much better and made me like maths like never before.
Thanks so much for making this video! I use your videos for a great little summary of what I did in my lesson and I can tel they'll be great revision later on.
Hey jack, so in college we learnt a way of finding areas under a curve or line using the ‘trapizium rule’ and this had a particular equation in which we need to know... I was wondering if you have any videos of this at all? Thanks
do you have any techniques on conceptualising maths. I definitely want to know all this, however almost everything just goes over my head. I believe its because I have no context to references/concepts. sorry if this is a daft question, any help would on this would be MASSIVELY appreciated!
Hi thanks for the video, I'm struggling to understand why f(x)=(A(x+h)-A(x))/h as if h tends to 0 this then surely it should disappear just like the extra part?
Good afternoon, sorry to bother you but I would really appreciate it if you could help me with this question: f '(x)=(1-2x^1/3)^3 Given that f(8)=24, find f(1) Thanks
I don’t really understand what f(x) actually is I thought it was just function/equation for a curve or line also could you elaborate 10:13 to 13:07 I don’t really understand how the 1st principles f’(x) equates to all of that
f'(x) is the first derivative of the f(x) which could any function. Its difficult because most times f(x) is used but as far as i am concerned it is just a function Hope this helps
Yes, the part of the spec is here: sites.google.com/site/tlmaths314/home/a-level-maths-2017/full-a-level/h-integration/01-fundamental-theorem-of-calculus "Know and use the Fundamental Theorem of Calculus". Essentially, what that means is that you need to know that evaluating an integral between two limits is the area under the graph - you won't be asked to replicate the theorem.
What you've got to clock onto is that we don't know the area of that little extra bit of the curve, but it is definitely smaller than the rectangle. If we can show that the rectangle tends to zero as h tends to zero, then anything smaller than it (inside) must do the same.
TLMaths because we defined A(x) as the area from x = 0 to x, to find the until x=a in my scenario would surely be A(a) ? (Sorry about all the questions)
By definition of A(x) being the area from x=0 to x, the consequence of this is that A(0) = 0. But in general when integrating from x=a to x=b, the area would be A(b) - A(a)
![A-Level Maths: H1-01 [Integration: Introducing the Fundamental Theorem of Calculus]](/img/logo.svg){kind=logo}
