All of Differentiation in 30 Minutes!! | Chapter 12 | A Level Pure Maths

A video revising the techniques and strategies required for all of the AS Level Pure Mathematics chapter on Differentiation that you need to achieve a grade C-A* in your A-Level Pure Maths.

These topics are the essential question styles that appear in the Differentiation Module. This however is not ALL of the question styles within the A-Level. Further videos can be found on the channel for a more in depth look at some of these topics.

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See below for further links to each of these topics:

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🔹 Watch the video
🔹 Make notes
🔹 Practice the questions
🔹 Mark your work
🔹 Review what you have learnt on the exam questions

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00:00 Intro
01:35 Differentiation Explained
04:01 First Principles
06:40 Differentiating Quadratics
07:49 Differentiating Harder Equations
10:25 Tangents and Normals
13:15 Increasing or Decreasing Functions
15:35 Second Order Derivatives
17:15 Stationary Points
22:21 Modelling with Differentiation

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[mideesuruoso]

Thank you so much this amazing! You helped me get through my GCSE’s and now my Alevels, I can’t begin to explain how grateful I am for your channel 😊❤️

[krispd]

30:41 why do you put 0.9825 instead of 90.8295

[Melonsnez]

Sir you literally saved my life, my teacher was so fast at explaining this i couldnt understand, but now i do, thx!

[HabibaKhan-eo]

im a homeschooled a-level student and am supposed to be half way through differentiation but thanks to your video i've learnt all the concepts of it :). Imma go into class knowing everything lol 😅 but thanks for helping.

[Zero-pbgw]

At 30:34 where did you get 0.9825 from?

[pratyasha]

Kudos to u sir for my A** in Maths! Taking it forward and equally as useful now at A-level :))

[rory_john]

Thank you for this! This really helped me with my modelling homework.

[abdullahkhurram]

00:03 Differentiation involves finding the gradient of a point on a curve
04:01 The formula for calculating the derivative is f(x + h) - f(x) / h.
07:54 The equation is derived and differentiated to find the gradient of the normal.
11:44 Differentiate the function and find the intervals where it is increasing
16:16 Differentiate and differentiate again to find second differentials
20:15 The second derivative was less than zero at x=1, indicating a local maximum point, and greater than zero at x=4, indicating a local minimum point.
24:16 The minimum speed for the journey is approximately 90.8 kilometers per hour.
28:25 The minimum cost of the journey is 93 pounds and 3 pence.
Crafted by Merlin AI.

[majin-q]

At 30:3, where did the 0.9825 come from? Because you said that the answer from part a)i) was 90.82951062 and I got that answer as well, so I'm really confused 😵‍💫

[bot]

I just watched this whole thing without knowing what the guy was talking about cause I thought this was revision for my mocks (I'm in year 11)

[PKampus]

30:42 you accidentally put 0.9825 it should be 90.8 as that’s the value of V

[augustineshako]

I'm not from England but I'm doing as level and these examples seem too easy, and its the same for most your A level videos, can you please do more challenging questions. Your videos got me an A for GCSE but since questions vary a lot in terms of difficulty on as level can you please do more difficult examples.(CIE exam btw)

[coffeeeeaddict]

GODSEND MAN 🔥you’re an incredible help thank you so much 🙌 these are made so well 🐐

[GCSEALevelMaths]

Great video sir happy new year for 2022!! Congratulations on surpassing 70k subscribers!!

[Truth_above_everything]

The backround music in your videos is really nice and relaxing haha

[fatimanori]

Hi Sir, Thank you so much for all these videos, they are very beneficial!
I have a question about the modelling with the differentiation problem. At 31:09 I was confused about the 0.9825, where is it from (I substituted 90.8 and got a local minimum cost as well, however, didn't get the exact answer as yours- I got 0.004 - am kind of confused)?

[salmana]

Hi Sir, I just wanted to ask that when you have completely uploaded AS pure, are you also going to upload A2 pure Mathematics.

[Rqayyah]

Im using this for gcse fm and its so helpful, thank you for these videos

[amanii]

Thank you so much. This was extremely helpful! :)

[calmingarts]

Thank you so much. I found this video to be really helpful and to be easy to understand.