AS Pure Maths 2 in 30 minutes

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  • Опубліковано 14 чер 2024
  • Fast revision video for Edexcel AS Pure Maths. This video covers trigonometry, vectors, differentiation and integration, exponentials and logarithms.

КОМЕНТАРІ • 90

  • @allanialoscon3458
    @allanialoscon3458 Рік тому +84

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

  • @almaazsalie2859
    @almaazsalie2859 2 роки тому +58

    *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  2 роки тому +4

      Check out the Formula Booklet videos

    • @leohjoon4409
      @leohjoon4409 2 роки тому +3

      again with the clutch. thanks buddy

    • @soupdragon12
      @soupdragon12 2 роки тому

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

    • @soupdragon12
      @soupdragon12 2 роки тому

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

    • @abrid3645
      @abrid3645 2 роки тому

      Iii

  • @tonydebling
    @tonydebling  2 роки тому +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]

  • @GCSEALevelMaths
    @GCSEALevelMaths 3 роки тому +14

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

  • @ahmadferozali9297
    @ahmadferozali9297 3 роки тому +9

    thank you very very much

  • @altairusti2926
    @altairusti2926 2 роки тому +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 роки тому

      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 Рік тому +5

      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 Рік тому +2

      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 Рік тому

      yeah me too!

  • @benfrost2714
    @benfrost2714 Рік тому

    great help cheers

  • @npdap
    @npdap 2 роки тому +6

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

    • @pip2162
      @pip2162 2 роки тому +1

      You doing WJEC?

    • @npdap
      @npdap 2 роки тому +1

      @@pip2162 im doing edexcel mate

    • @pip2162
      @pip2162 2 роки тому

      @@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 🥲

  • @big_guy6507
    @big_guy6507 6 місяців тому +2

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

    • @tonydebling
      @tonydebling  6 місяців тому +1

      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.

  • @el-et4cg
    @el-et4cg 3 роки тому +34

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

    • @usmaanafzal3743
      @usmaanafzal3743 3 роки тому +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 роки тому +7

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

    • @usmaanafzal3743
      @usmaanafzal3743 3 роки тому +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 роки тому +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 роки тому +1

      as it should be -1 on both sides

  • @clairo.9619
    @clairo.9619 9 місяців тому

    thank you so much :)

  • @albinalex6435
    @albinalex6435 3 роки тому +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 роки тому +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 роки тому

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

    • @tonydebling
      @tonydebling  3 роки тому

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

    • @albinalex6435
      @albinalex6435 3 роки тому +1

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

    • @bfzee9813
      @bfzee9813 Рік тому +9

      @@albinalex6435 bros really negotiating with the maths teacher

  • @hamburger7478
    @hamburger7478 7 місяців тому

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

  • @1My3My9
    @1My3My9 Рік тому

    how did you get 352 for the trig identities?

    • @tonydebling
      @tonydebling  Рік тому

      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

  • @tunatunes
    @tunatunes 3 роки тому +2

    Can i use this for ocr???

  • @1My3My9
    @1My3My9 Рік тому

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

    • @tonydebling
      @tonydebling  Рік тому

      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 Рік тому

      @@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  Рік тому

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

    • @1My3My9
      @1My3My9 Рік тому

      @@tonydebling oh thanks

  • @poscii754
    @poscii754 Рік тому +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 Рік тому +2

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

    • @vixtasy
      @vixtasy Рік тому

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

  • @lol.1296
    @lol.1296 9 місяців тому

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

    • @tonydebling
      @tonydebling  9 місяців тому +1

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

    • @lol.1296
      @lol.1296 9 місяців тому

      Why do we have to add 1?

  • @LeviParsons31
    @LeviParsons31 Рік тому +1

    Hello to everyone watching this the night before exams ✌️

  • @goldenrainbow745
    @goldenrainbow745 3 роки тому +3

    Which as level maths is easy Cambridge or edexcel?

    • @tonydebling
      @tonydebling  3 роки тому +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.

  • @janasherif4536
    @janasherif4536 3 роки тому +1

    Where is the sketching graph and binomial expansion

    • @nikhilramchurnn7946
      @nikhilramchurnn7946 3 роки тому +2

      In the video before this one

    • @almaazsalie2859
      @almaazsalie2859 2 роки тому

      Hi! not sure if this is a little late but its over here - ua-cam.com/video/ZyGlXmroHyo/v-deo.html

  • @amman3k971
    @amman3k971 Рік тому

    15:47

  • @yz7980
    @yz7980 Рік тому

    Can you make one of these for A2 please

    • @tonydebling
      @tonydebling  Рік тому

      I've done A2 Mechanics and A2 Statistics

    • @yz7980
      @yz7980 Рік тому +1

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

  • @unknownzzz9089
    @unknownzzz9089 3 роки тому +4

    Where did you get this paper from?

    • @tonydebling
      @tonydebling  3 роки тому +4

      I pulled questions from various revision sets provided by Edexcel.

    • @unknownzzz9089
      @unknownzzz9089 3 роки тому +1

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

    • @tonydebling
      @tonydebling  3 роки тому +1

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

    • @unknownzzz9089
      @unknownzzz9089 3 роки тому +1

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

    • @unknownzzz9089
      @unknownzzz9089 3 роки тому

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

  • @rjforshort4415
    @rjforshort4415 2 роки тому

    Is this also with cambridge

    • @shehrankazi4891
      @shehrankazi4891 2 роки тому

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

  • @lucawills9179
    @lucawills9179 2 роки тому

    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 роки тому

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

  • @solux9396
    @solux9396 2 роки тому

    Where do u get ur questions from

    • @tonydebling
      @tonydebling  2 роки тому

      Edexcel past papers and sample papers

    • @solux9396
      @solux9396 2 роки тому

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

  • @professorpepe2732
    @professorpepe2732 2 роки тому +84

    I’m gonna fail the exam

    • @tallyinc9390
      @tallyinc9390 2 роки тому +3

      Did u fail?

    • @azp_ad4m277
      @azp_ad4m277 2 роки тому +3

      me too(

    • @emiliamocko-sugars8920
      @emiliamocko-sugars8920 Рік тому +5

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

    • @amman3k971
      @amman3k971 Рік тому +1

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

    • @elite6804
      @elite6804 Рік тому +1

      I got my mocks tomorrow I’m finished

  • @tunatunes
    @tunatunes 3 роки тому +1

    Can i use this for ocr???

    • @tonydebling
      @tonydebling  3 роки тому +2

      Yes, OCR syllabus is the same as Edexcel