AS Pure Maths 2 in 30 minutes

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  • เผยแพร่เมื่อ 16 ก.ค. 2024
  • Fast revision video for Edexcel AS Pure Maths. This video covers trigonometry, vectors, differentiation and integration, exponentials and logarithms.

ความคิดเห็น • 92

  • @allanialoscon3458
    @allanialoscon3458 ปีที่แล้ว +88

    This man's tone of voice describes my enthusiasm for maths exactly.

  • @tonydebling
    @tonydebling  2 ปีที่แล้ว +22

    @22:41 second derivative of C should have final term 600pi/r^3 not 600pi/r^2, but reasoning remains the same [thank you SoupDragon]

  • @almaazsalie2859
    @almaazsalie2859 3 ปีที่แล้ว +60

    *Timestamps:*
    0:14 - Trigonometry
    3:41 - Vectors
    5:00 - Differentiation
    12:28 - Integration
    17:40 - Exponentials & Logarithms
    Would have been amazing if you could've gone over sequences and series as well but thanks so much for these - really helpful.

    • @tonydebling
      @tonydebling  3 ปีที่แล้ว +4

      Check out the Formula Booklet videos

    • @leohjoon4409
      @leohjoon4409 2 ปีที่แล้ว +3

      again with the clutch. thanks buddy

    • @soupdragon12
      @soupdragon12 2 ปีที่แล้ว

      @@tonydebling howcomes -300pi/r^2 differentiated to 600/r^2 and not 600pi/r^3???

    • @soupdragon12
      @soupdragon12 2 ปีที่แล้ว

      @@tonydebling *600pi/r^2***

    • @abrid3645
      @abrid3645 2 ปีที่แล้ว

      Iii

  • @GCSEALevelMaths
    @GCSEALevelMaths 3 ปีที่แล้ว +14

    Great video sir keep up your fantastic work. I make similar videos.

  • @ahmadferozali9297
    @ahmadferozali9297 3 ปีที่แล้ว +9

    thank you very very much

  • @benfrost2714
    @benfrost2714 2 ปีที่แล้ว

    great help cheers

  • @clairo.9619
    @clairo.9619 10 หลายเดือนก่อน

    thank you so much :)

  • @altairusti2926
    @altairusti2926 2 ปีที่แล้ว +16

    In the first question where did the 2 come from. I understand the previous step of substituting 1-sin(squared)x into cos(squared)x but can't see where the 2 is.

    • @yeetyuta9376
      @yeetyuta9376 2 ปีที่แล้ว

      i have the same question. though i have to say, I suck at factorising so I always use the calculator. so when you factorise and you get the x values and you kinda work your way backwards (as in from the x values you try to get to the brackets) you will get the two. but I am still confused how it happened. i am really bad at explaining I hope this helped :D

    • @EvenTheTop
      @EvenTheTop 2 ปีที่แล้ว +6

      I think ive gone through my working three times now and still can't figure it out.
      Trig identities is one of yhe things I'm really struggling with as well. My exam is tomorrow 😫 im so screwed

    • @yoepicboi
      @yoepicboi ปีที่แล้ว +3

      If you work backwards (3sinx-1)^2 = 2 can be written as 9sin^2 x - 6^sinx + 1 = 2 which it you take away 1 from both sides gives you the other equation

    • @veisnthere9
      @veisnthere9 ปีที่แล้ว

      yeah me too!

  • @npdap
    @npdap 2 ปีที่แล้ว +6

    Thank u so much!!
    Good luck everyone for the paper🤝

    • @pip2162
      @pip2162 2 ปีที่แล้ว +1

      You doing WJEC?

    • @npdap
      @npdap 2 ปีที่แล้ว +1

      @@pip2162 im doing edexcel mate

    • @pip2162
      @pip2162 2 ปีที่แล้ว

      @@npdap Ahh okay, you posted your comment the day before the wjec paper so I thought you mightve been doing that one too. Turns out the wjec ended up putting questions on the exam about topics they took out of the specification 🥲

  • @albinalex6435
    @albinalex6435 3 ปีที่แล้ว +11

    Hey, so I was wondering if you could give a detailed explanation on the screen of how you get to each part with methods and what you did, but your explation was amazing thank you.

    • @tonydebling
      @tonydebling  3 ปีที่แล้ว +1

      I do do online tutorials. I charge £30 for 40mins. Let me know if you are interested. Email tonydebling@gmail.com

    • @albinalex6435
      @albinalex6435 3 ปีที่แล้ว

      @@tonydebling if you can do an hour for £30 I will be interested

    • @tonydebling
      @tonydebling  3 ปีที่แล้ว

      @@albinalex6435 Sorry don't negotiate on these rates.

    • @albinalex6435
      @albinalex6435 3 ปีที่แล้ว +1

      @@tonydebling no worries, it's just I already have maths tutor and they do 1 hour for £35

    • @bfzee9813
      @bfzee9813 ปีที่แล้ว +9

      @@albinalex6435 bros really negotiating with the maths teacher

  • @hamburger7478
    @hamburger7478 8 หลายเดือนก่อน

    can you make a similar video but on A2 stuff pls?

  • @amman3k971
    @amman3k971 2 ปีที่แล้ว

    15:47

  • @amser7916
    @amser7916 28 วันที่ผ่านมา

    maths in 1hr lets lock in🙌

  • @el-et4cg
    @el-et4cg 3 ปีที่แล้ว +34

    for the first question where did the equals 2 come from?

    • @usmaanafzal3743
      @usmaanafzal3743 3 ปีที่แล้ว +17

      you get 1-sin²x = 8sin²x - 6sinx
      then 1 = 9sin²x - 6sinx
      then add 1 to both sides
      2 = 9sin²x - 6sinx + 1
      if you expand (3sinx - 1)² = 2 you will get
      9sin²x - 6sinx + 1 = 2

    • @cobraaz2551
      @cobraaz2551 3 ปีที่แล้ว +7

      @@usmaanafzal3743 why would you add 1 to both sides?

    • @usmaanafzal3743
      @usmaanafzal3743 3 ปีที่แล้ว +7

      @@cobraaz2551 it is irregular as usually you wouldn’t have to add 1 to both sides of an equation but in this question, to prove they are equal you have to add 1 to both sides

    • @edded2487
      @edded2487 3 ปีที่แล้ว +15

      @@usmaanafzal3743 this doesn't make much sense to me :/ would never think to add 1 to both sides in an exam

    • @edded2487
      @edded2487 3 ปีที่แล้ว +1

      as it should be -1 on both sides

  • @tunatunes
    @tunatunes 3 ปีที่แล้ว +2

    Can i use this for ocr???

    • @tonydebling
      @tonydebling  3 ปีที่แล้ว

      Yep, It's fine for OCR.

  • @1My3My9
    @1My3My9 ปีที่แล้ว

    how did you get 352 for the trig identities?

    • @tonydebling
      @tonydebling  ปีที่แล้ว

      Arcsin(0.1381)=7.94, sin is negative in the 3rd and 4th quadrants, so to solve sin x = -0.1381 we have x= 180 + 7.94=187.94 and x = 360 - 7.94 = 352.06

  • @1My3My9
    @1My3My9 ปีที่แล้ว

    for 12:00 shouldn't you do the negative reciprocal for the gradient? so it should be -2/7

    • @tonydebling
      @tonydebling  ปีที่แล้ว

      You've been asked to find the equation of the tangent so you just use the value of dy/dx. You would use the negative reciprocal if you wanted to find the equation of the normal.

    • @1My3My9
      @1My3My9 ปีที่แล้ว

      @@tonydebling oh so if only it says ''normal'' you do the negative reciprocal but when its tangent you use the normal gradient.
      the reason why I thought you did it was because tangents are perpendicular to the circle and my teacher said do the negative reciprocal

    • @tonydebling
      @tonydebling  ปีที่แล้ว

      @@1My3My9 Tangents aren't perpendicular (at right angles) to circles they touch the circumference (tangere is to touch)

    • @1My3My9
      @1My3My9 ปีที่แล้ว

      @@tonydebling oh thanks

  • @big_guy6507
    @big_guy6507 7 หลายเดือนก่อน +2

    Hey there.
    Would there not be a 'c' variable when you integrate the equation within the brackets at 17:10?

    • @tonydebling
      @tonydebling  7 หลายเดือนก่อน +2

      In a definite integral (one between limits) there is no need for a +c (constant of integration). If you did put one in it would get cancelled out when you substitute the limits.

  • @poscii754
    @poscii754 ปีที่แล้ว +2

    Got my maths AS exam tomorrow and still cant figure out how you got p=7.5 on that first log+exponential question 🤦

    • @poscii754
      @poscii754 ปีที่แล้ว +2

      nevermind! figured it out! e^0 would equal 1 so 1p=7.5: p=7.5 this video is incredibly helpful ❤

    • @vixtasy
      @vixtasy ปีที่แล้ว

      @@poscii754 Man hope the exam went well, I have my year 12 mocks next week so practicing AS too.

  • @LeviParsons31
    @LeviParsons31 ปีที่แล้ว +1

    Hello to everyone watching this the night before exams ✌️

  • @lol.1296
    @lol.1296 10 หลายเดือนก่อน

    Your vids are very helpful however i don’t get how you got the two in the first question

    • @tonydebling
      @tonydebling  10 หลายเดือนก่อน +1

      Add 1 + Sin(^2)x to both sides

    • @lol.1296
      @lol.1296 10 หลายเดือนก่อน

      Why do we have to add 1?

  • @janasherif4536
    @janasherif4536 3 ปีที่แล้ว +1

    Where is the sketching graph and binomial expansion

    • @nikhilramchurnn7946
      @nikhilramchurnn7946 3 ปีที่แล้ว +2

      In the video before this one

    • @almaazsalie2859
      @almaazsalie2859 3 ปีที่แล้ว

      Hi! not sure if this is a little late but its over here - th-cam.com/video/ZyGlXmroHyo/w-d-xo.html

  • @yz7980
    @yz7980 ปีที่แล้ว

    Can you make one of these for A2 please

    • @tonydebling
      @tonydebling  ปีที่แล้ว

      I've done A2 Mechanics and A2 Statistics

    • @yz7980
      @yz7980 ปีที่แล้ว +1

      @@tonydebling are you planning to make any videos for pure?

  • @goldenrainbow745
    @goldenrainbow745 3 ปีที่แล้ว +3

    Which as level maths is easy Cambridge or edexcel?

    • @tonydebling
      @tonydebling  3 ปีที่แล้ว +4

      Hey, I can't really say. These days the A level syllabuses are much more closely aligned so there shouldn't be much difference in difficulty. I think the availability of resources and the level of service provided by the exam boards are more significant, but on these matters I cannot comment.

  • @rjforshort4415
    @rjforshort4415 2 ปีที่แล้ว

    Is this also with cambridge

    • @shehrankazi4891
      @shehrankazi4891 2 ปีที่แล้ว

      Cambridge usually prefers writing an equation for ex. y = 2x+3 instead of y = f(x) most of the times.

  • @joerugby1463
    @joerugby1463 27 วันที่ผ่านมา

    Exam in 11 hrs

  • @lucawills9179
    @lucawills9179 2 ปีที่แล้ว

    At 5:42 why is -7/3x^-1/2, shouldn’t it be just to the power of 1/2, not -1/2 as -7^1/2*1/3x^-1/2=-7/3x^1/2

    • @tonydebling
      @tonydebling  2 ปีที่แล้ว

      It's the brackets ...
      (-7/3)x^(-1/2) = -7/(3x^1/2)
      Hope that helps?

  • @unknownzzz9089
    @unknownzzz9089 3 ปีที่แล้ว +4

    Where did you get this paper from?

    • @tonydebling
      @tonydebling  3 ปีที่แล้ว +4

      I pulled questions from various revision sets provided by Edexcel.

    • @unknownzzz9089
      @unknownzzz9089 3 ปีที่แล้ว +1

      @@tonydebling ah because I’m trying to find the model worked solutions

    • @tonydebling
      @tonydebling  3 ปีที่แล้ว +1

      @@unknownzzz9089 what do you expect beyond text in videos?

    • @unknownzzz9089
      @unknownzzz9089 3 ปีที่แล้ว +1

      @@tonydebling Yes as you need method to get full marks in exam

    • @unknownzzz9089
      @unknownzzz9089 3 ปีที่แล้ว

      The first question, their is a another step to get to the required form which you don't show

  • @solux9396
    @solux9396 2 ปีที่แล้ว

    Where do u get ur questions from

    • @tonydebling
      @tonydebling  2 ปีที่แล้ว

      Edexcel past papers and sample papers

    • @solux9396
      @solux9396 2 ปีที่แล้ว

      @@tonydebling thanks mate love the vids helping me through a level

  • @professorpepe2732
    @professorpepe2732 2 ปีที่แล้ว +88

    I’m gonna fail the exam

    • @tallyinc9390
      @tallyinc9390 2 ปีที่แล้ว +3

      Did u fail?

    • @azp_ad4m277
      @azp_ad4m277 2 ปีที่แล้ว +3

      me too(

    • @emiliamocko-sugars8920
      @emiliamocko-sugars8920 2 ปีที่แล้ว +6

      i have mocks today hahahahahaha it’s in an hour im so fucked man

    • @amman3k971
      @amman3k971 2 ปีที่แล้ว +1

      Ending up getting Ds in my y12 mocks, in the same boat g

    • @elite6804
      @elite6804 ปีที่แล้ว +2

      I got my mocks tomorrow I’m finished

  • @tunatunes
    @tunatunes 3 ปีที่แล้ว +1

    Can i use this for ocr???

    • @tonydebling
      @tonydebling  3 ปีที่แล้ว +2

      Yes, OCR syllabus is the same as Edexcel