How to use the Newton Raphson method

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  • Опубліковано 23 гру 2024

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  • @ExamSolutions_Maths
    @ExamSolutions_Maths  Рік тому +3

    🔥 For our top viewers: Get a FREE assessment on the Newton Raphson method! Register now ➡ www.examsolutions.net/register

  • @GamingIsle
    @GamingIsle 5 років тому +198

    I have been using your videos for Maths since I was 15 years old, I'm now 21 - you've had such a positive impact on my learning and when I graduate, I'll feel guilty for them not including your name on the certificate!

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  5 років тому +53

      Nice one. Thank you for your loyalty. Much appreciated. Best wishes for a good graduation certificate when you get it.

    • @laibaalam487
      @laibaalam487 Рік тому +1

      from which university you get graduation

    • @GamingIsle
      @GamingIsle Рік тому +11

      University of York - BEng Electronic Engineering with Business Management
      I miss University, anyone reading en route/currently studying make the most of every second because it really can be an amazing time in life!

    • @zaidm1134
      @zaidm1134 10 місяців тому +2

      ​@@GamingIsleDid you manage to find a job, and what city

    • @luckymuli3653
      @luckymuli3653 9 місяців тому +3

      Hey pal​@@GamingIsleI am in the university of Nairobi Electrical and Electronics. Final exam coming soon😅. Wish you all the best

  • @Mirorulez
    @Mirorulez 4 роки тому +50

    Damn... a couple of years ago you were all I had for my mechanics and pure AS papers. Here I am two years later in chemical engineering relying on you yet again. Thank you!

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  4 роки тому +6

      Welcome back.

    • @josephlau13d77
      @josephlau13d77 4 роки тому

      How? This is learnt in the first year of high school

    • @sexcommunist
      @sexcommunist 4 роки тому +3

      @@josephlau13d77 Wtf is you high school, I only learnt about derivative of a function on second grade of uni.

    • @user-mg8tw
      @user-mg8tw 3 роки тому

      @@sexcommunist i'm in my second last year of high school (year 12) and learning this but to be fair i took further maths as a subject

  • @PO1S0N-1
    @PO1S0N-1 5 років тому +132

    thanks sooooo much uni powerpoints were so useless on this topic, the calculator explanation was absolutely spot on cheers

  • @thomashughes4859
    @thomashughes4859 5 років тому +6

    Your calculator shortcut was excellent, thank you!
    I had one little formula left to master in cycloids, and the parametric equation "X = t - sin(t)" is now in the bag. Thanks a million!

  • @hossiluc
    @hossiluc 5 років тому +6

    The Videos are just extraordinary, not too long but enclose all the information needed to understand the concepts. So thankful for you. Keep up the great work

  • @tanwanit7054
    @tanwanit7054 2 роки тому +3

    Wow! This video thought me more in 12mins that I’ve learned over three semesters. Thank you

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 років тому +2

    No probs - pleased to hear it helped

  • @paul4295
    @paul4295 10 років тому +9

    I would fail so much without this guy, what a legend.

  • @bjarneivarsbjarnesen9759
    @bjarneivarsbjarnesen9759 Рік тому

    I didn't even know that there was a method called this and functioned in this manner. Mind opening for me and very good explanations, helped me solve a project that I had.

  • @kannansekarannuradha
    @kannansekarannuradha Рік тому

    You are the best tutor of all time. Low key. Donated in 2019.

  • @markr7059
    @markr7059 2 роки тому +1

    Your explanation is the clearest so far! Cheers.

  • @marklebury
    @marklebury 9 років тому +2

    I love you man. You have saved me an hour of revision.

  • @oceanablueblue
    @oceanablueblue 11 років тому +3

    I love the way u key in the calculator. ..thank you sir..

  • @Gaarawed
    @Gaarawed 9 років тому +8

    Thank you very much , I have an exam tomorrow and I didn't understand any single word from my teacher but your videos saved me.
    am really thankful to you
    Peace from KSA

  • @GautamKabiraj96
    @GautamKabiraj96 9 років тому +4

    Whatever my teacher says, goes above my head. Why can't they explain as the way you do? Thank you so much!!
    EDIT: And thanks for the calculator pro tip! ;)

  • @KAFA2020
    @KAFA2020 7 років тому +53

    Oh beautiful. very good explanation.
    May you live a long life Full of gladness and health . May all God's blessings descend upon you. May peace be within you may your heart be strong. May you find what you're seeking wherever you roam.?

  • @eleeson4169
    @eleeson4169 8 років тому +6

    Thanks for making a nice clear video. I've shared it with my class for revision.

  • @Freakybananayo
    @Freakybananayo 4 роки тому +2

    neat handwriting and good explanation. clear voice so can watch at 2x speed no problem, thanks for the video

  • @about47t-rexes12
    @about47t-rexes12 5 років тому +6

    Can't thank you enough, fantastic explanation!

  • @KWick0405
    @KWick0405 8 років тому +2

    This is exactly what I need. Thank you very much for the video. And keep up the good work mate.

  • @waqarahmed4200
    @waqarahmed4200 3 роки тому

    not only learned this method but also the Ans calculator trick.....thanks a lot

  • @ajalaoluwatobi
    @ajalaoluwatobi 3 місяці тому

    Thank you for the shortcut chief❤❤❤

  • @sonianuzhath2121
    @sonianuzhath2121 8 років тому +1

    How to calculate f(a) from implicit f(x) equation using bisection/newton raphson/secant method?

  • @TrendTalk787
    @TrendTalk787 Рік тому

    thanks man, specially for the calculator trick you have shown, it will save me a lot of time on exam

  • @ahsaniftikhar368
    @ahsaniftikhar368 4 роки тому +1

    @ExamSolutions, is there a reason why you specifically chose 0.5 (i.e. a value between the roots) to perform the second set of iterations? I tried this using 5 and it still converged. I just wanted to understand why you specifically used a starting value that is between the roots. Thank you

  • @dom5682
    @dom5682 2 роки тому

    Hi, may i know why did you select x1 as 1? Thank you!

  • @vishwashah9695
    @vishwashah9695 9 років тому

    i got many problem in solving this but u get explain it simply thankzz i help me in scoring

  • @ashish144
    @ashish144 3 роки тому

    Best tutorial I've ever seen. Just WoW

  • @apollo1415
    @apollo1415 4 роки тому +1

    thanks man you make it easy

  • @zxspectrum16KB
    @zxspectrum16KB Рік тому

    Would you please make a separate section for as maths videos?

  • @sethkwafo1108
    @sethkwafo1108 3 роки тому

    You saved my life
    God bless you
    Much appreciated

  • @creampuff966
    @creampuff966 5 років тому +3

    Oh wow the calculator tip was beautiful thank you!

  • @TheGoldennach
    @TheGoldennach 7 місяців тому

    Nicely explained! Thank you!

  • @KaylenApril
    @KaylenApril 6 років тому +2

    How do we know if we should use xsub 0 or x sub 1 for the initial value?

    • @edhills680
      @edhills680 5 років тому

      Kaylen April you can’t use 0 it doesn’t work

  • @solomonkimba
    @solomonkimba 10 місяців тому

    At last you explanation just gave ma a smile of hope🤗🤗thanks so much❤❤

  • @Anth19
    @Anth19 7 років тому +2

    u made it so simple. .thank you so much.

  • @arcg2146
    @arcg2146 3 роки тому +1

    This was so helpful God bless you

  • @bertodeath
    @bertodeath 12 років тому +1

    You are a star! Such a help

  • @Ruhgtfo
    @Ruhgtfo 3 місяці тому

    What a magic for this amazing methods works 😻 so nice

  • @lonestar3235
    @lonestar3235 10 років тому

    thanks a bunch . u saved my test for tomorrow!

  • @ChefGPTOfficial
    @ChefGPTOfficial 5 років тому +1

    So what is the purpose of newton raphson method is it to find the roots/specific root ?? Can someone explain to me what roots do we get from applying this method thanks in advance

  • @abdorllspace
    @abdorllspace 11 місяців тому

    This explanation is super! Thanks a ton mann! This made me subscribe to ur yc.

  • @theewrenchmasters2024
    @theewrenchmasters2024 3 роки тому

    Thanks very much,,,you are more important than my lecturer

  • @rrtraihan5488
    @rrtraihan5488 Рік тому

    Thank you. Nice explanation

  • @Northtrip-ie1kh
    @Northtrip-ie1kh 6 років тому

    hi
    if there is some equation whose 1st root is not known to us, in that case what will be the 1st assumed root for that equation? or is there any other new method needed? please do tell me if new method is needed then do one video on that plz
    thanks

  • @ryananthonyfernandez4674
    @ryananthonyfernandez4674 3 роки тому

    How did he get this part? 2:27 Can someone explain this to me?

  • @VengerVideoGamer
    @VengerVideoGamer Рік тому

    I remember sitting in a Numerical Analysis lecture in Cardiff University in 1993, frantically doing this by typing in the figures in a calculator to finish off an assignment that needed to be in that day. I didn't know about the Ans button method! I saw this 30 years too late 🤣. Doh!

  • @lavinia-loredanaspargo9890
    @lavinia-loredanaspargo9890 5 років тому +1

    Thank you for this video!

  • @rewardmutani2084
    @rewardmutani2084 Рік тому

    Helpful thank... Keep up the good works

  • @benaya6
    @benaya6 5 років тому

    thank you! I would like to ask - how do you choose X1? how do I know where yo start?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  5 років тому +2

      X1 is chosen to be a value close to the interval that the root is in.

    • @mthulisimlilo9335
      @mthulisimlilo9335 4 роки тому +1

      I usually tell my learners to choose x1 the value that gives a value that’s closest to zero between 0 and 1

  • @greaseTalk
    @greaseTalk Рік тому

    Yassi Bru this calculator trick is the one fr fr

  • @HYBECTIVE
    @HYBECTIVE 4 роки тому

    You make it so simple, my professor only speaks in theory and doesn’t do any examples in class. So I have to teach myself everything which is horrible

  • @amirpenkar947
    @amirpenkar947 4 роки тому +1

    Thanks so much!

  • @princesstricia236
    @princesstricia236 5 місяців тому

    Very good video but please why did you use 1 as your initial approximation, my lecturer used 0.5 in his own case. Whats the difference

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 років тому +7

    Good luck.

  • @yaknuelgh
    @yaknuelgh Рік тому

    If we start the aprroximation from x0 = 0 we won't get the approximation for x1 to be 1. So where should we start the approximation? Is it x1 =1 or x0 = 0

  • @hsstudykaola2459
    @hsstudykaola2459 3 роки тому

    Amazing Videos!! What a lifesaver! Do we need the Newton Raphson Method in the CIE 9709 Pure Maths paper 3??? I don't see it in the syllabus. Do we need to know it for Pure Math 3?

  • @shannonmurray3013
    @shannonmurray3013 8 років тому

    Hi. How do I know to take 1 as the value of x1??

  • @littleflower782
    @littleflower782 5 років тому +1

    Thank you soooo much 🤝👌👌

  • @ceterisps261
    @ceterisps261 6 років тому

    On the c3 coursework I'm currently doing, I've seen an example such as x^3-3x-1 which presents 3 roots. The examples I have only give me one root, is there another equation with more than 1 root that can work with is? If so can I get a few examples

  • @tuansyafiq
    @tuansyafiq 12 років тому +1

    Thankyou so much..can clc faster in exam

  • @richardjones1993
    @richardjones1993 9 років тому

    how would you go about using this method for a cubic equation - the following for example:
    1/2x^3 + x^2 -10x + 14.178 = 0
    Any helps would be appreciated, is it the same format just added the extra part?

  • @edilsontomas3772
    @edilsontomas3772 8 років тому

    thank you... you are doing a great job and you will go far

  • @charleslichtenstein6453
    @charleslichtenstein6453 8 років тому

    Do you have another video that explains examples of when it won't work or is it irrelevant for A-level further maths?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  8 років тому +1

      Sorry, but not at the moment. It tends to be irrelevent for A-level work

    • @Simo2009BORO
      @Simo2009BORO 8 років тому +1

      Considering I am studying second year Engineering at university and that I don't do stuff which doesn't converge to the root in maths, I think you have nothing to worry about :)

  • @peaceojo-osagie4746
    @peaceojo-osagie4746 3 місяці тому

    Wow
    I love the calculator shortcuts

  • @harrisons62
    @harrisons62 5 років тому

    You're gonna help me pass my mid semester exam thanks mate

  • @owenwilfred587
    @owenwilfred587 3 роки тому +2

    Thank you so much

  • @pogelord8842
    @pogelord8842 2 роки тому

    Thank you much appreciated!

  • @elishamazvuma8058
    @elishamazvuma8058 3 роки тому

    thanks so much ...this vid helped me a lot

  • @ibrahimbabajide3498
    @ibrahimbabajide3498 3 роки тому

    Thanks a lot ☺️☺️☺️. It was really helpful

  • @carlosmolina8805
    @carlosmolina8805 Рік тому

    Jjaaj, i have been trying to use this method for the equation x-1=f(x), and I only get bigger and bigger numbers, it does not converge...

  • @sadlolo
    @sadlolo 11 років тому +2

    LEGEND ... Thank You So Much =]

  • @jessekenney-hastens7195
    @jessekenney-hastens7195 5 років тому +1

    Excellent
    Thank you so much

  • @lonestar3235
    @lonestar3235 10 років тому

    hey i know this maybe a lot to ask but can u pls do a tutorial for Gauss-Jacobi and Gauss-Sieder method ??

  • @mobeensarwar1609
    @mobeensarwar1609 8 років тому

    tanks very vary much its to simple after watching this video ................

  • @darshanpunk5517
    @darshanpunk5517 7 років тому

    Just awesome thanks liked this approach

  • @sadiamira8957
    @sadiamira8957 5 років тому

    What tablet are u using sir?

  • @sandhiya22
    @sandhiya22 5 років тому

    hlo,,,,,how to first step x0 valve find out in formulae ?,,,,,how to apply

  • @mathsbyalamdarhussain2759
    @mathsbyalamdarhussain2759 3 роки тому

    Which software you used to record lecture ?

    • @aashsyed1277
      @aashsyed1277 3 роки тому

      are you a muslim? i am 9 years old exam solutions is from england

  • @lekhshisodiya6094
    @lekhshisodiya6094 5 років тому +5

    i just thanked my lord JESUS as he used your video to teach me to get through my new scientific calculator!! and you tought exactly the same God bless you!!!

  • @tereseezeobi651
    @tereseezeobi651 7 років тому

    Thankyou so much sir. You're a great teacher.

  • @talismith8968
    @talismith8968 3 роки тому

    THANK YOU FOR THIS!! :)

  • @adnanbulbul9543
    @adnanbulbul9543 2 роки тому

    How do you take first approximation of x1?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  2 роки тому +1

      Given that you are told the root lies between 0 and 1, you can choose any value between 0 and 1, then start the iteration process.

  • @prarthanaSL
    @prarthanaSL 11 років тому

    Thanks a lot. These videos helped a lot

  • @danzelgohcm
    @danzelgohcm 10 років тому +3

    hi sir,
    can we get a Gauss Seidel method?
    i am learning this in uni now, and i need some help on it .
    student from Newcastle university

  • @Najmul191
    @Najmul191 4 роки тому +1

    Thank You sir. Love from India❤️❤️❤️

  • @Uuu656-y7p
    @Uuu656-y7p 6 років тому

    Thank you every much from Thailand.

  • @OriginalJoseyWales
    @OriginalJoseyWales 10 років тому

    What are you using to write?

  • @fintancolaco7398
    @fintancolaco7398 8 років тому

    Does it matter which value you choose to be the first approximation?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  8 років тому

      +Fintan Colaco Yes, but they will generally tell you what value to start with.

    • @JimmyThePhysicist
      @JimmyThePhysicist 7 років тому

      ExamSolutions Newton raphson works with any intial value as long as the derivate is not equal to 0 and you don't ignore the 3th decimal of all intial values.
      I tested it
      i

  • @AK476056
    @AK476056 5 років тому

    Very helpful, thanks.

  • @rulezz264
    @rulezz264 9 років тому

    Ths method is quite logical and helpful for solving impossible polynomials (f'(xn)(x(n+1) - xn) + f(xn) = 0), which is only true if you're near the root.

  • @wendy_nf4778
    @wendy_nf4778 9 років тому

    what exam board is this for in alevel? because I'm doing this in university!!

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  9 років тому +2

      +Wendy Ydnew It is on Edexcel

    • @leungkawing132004
      @leungkawing132004 8 років тому

      +Wendy Ydnew and MEI coursework

    • @zacharysylvester8349
      @zacharysylvester8349 8 років тому

      +Wendy Ydnew lol same, I'm doing Mechanical Engineering 2nd year and doing this. I don't remember doing this for A levels.

    • @thejuzey
      @thejuzey 8 років тому

      It's in Further Maths in OCR

  • @syedaakthar2001
    @syedaakthar2001 6 років тому

    I have a question telling me to ‘evaluate f(0.9) and f(1.0)’ what does that mean?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  6 років тому +1

      For f(0.9) substitute x=0.9 into f(x) and for f(1.0)' differentiate f(x) and then substitute x=1.0 into it.

    • @syedaakthar2001
      @syedaakthar2001 6 років тому

      ExamSolutions you are a life saver thank you so so so much. I was wondering if you had any videos on staircase and cobweb diagrams.

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  6 років тому +1

      Thank you but sorry I do not have anything at present on staircase and cobweb designs.

  • @iamtrying0
    @iamtrying0 Рік тому

    wow I understand your Example 👍🏻

  • @SehamArad
    @SehamArad 11 років тому

    so is newton-raphson and the newton method the same thing then??

  • @miguelmicallef1415
    @miguelmicallef1415 5 років тому

    you're a life saver. love you

  • @antonioskarakechagias1122
    @antonioskarakechagias1122 2 роки тому

    How can we explain that even though we used a different x = 0.5, we ended up again on the same number of 0.7709 ?

  • @abdulrahmanradwan2046
    @abdulrahmanradwan2046 4 роки тому +1

    It is a good lecture

  • @junovicz
    @junovicz 6 років тому

    What happens when f(×) touchs the x-axis two times?