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Taylor Polynomials & Maclaurin Polynomials With Approximations

The Organic Chemistry Tutor
2018 ж. 30 Нау.
583 423 Рет қаралды
Жүктеу

This calculus 2 video tutorial provides a basic introduction into taylor polynomials and maclaurin polynomials. It explains how to find the 4th degree polynomial approximation of lnx and e^x. A maclaurin polynomial approximation can be found using a taylor polynomial approximation centered at 0. This video contains a few examples and practice problems.
Series Tests - Practice Problems: • Calculus 2 - Geometric...
Taylor & Maclaurin Polynomials:
• Taylor Polynomials & M...
Taylor's Remainder Theorem:
• Taylor's Remainder The...
Power Series - Interval Convergence:
• Power Series - Finding...
Power Series - Derivatives & Integrals:
• Power Series - Differe...
___________________________________
Power Series - Function Representation:
• Power Series - Represe...
Finding The Power Series:
• Finding Power Series B...
Power Series - Representation By Integration:
• Power Series Represent...
Power Series - Representation By Natural Logs:
• Power Series Represent...
Taylor & Maclaurin Series:
• Taylor Series and Macl...
Binomial Series:
• Binomial Series
____________________________________
Parametric Equations:
• Parametric Equations I...
Calculus Final Exam and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

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    @TheOrganicChemistryTutor@TheOrganicChemistryTutor Жыл бұрын

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    @ralphcastro1117@ralphcastro11173 жыл бұрын

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      @paularnold2124@paularnold21243 жыл бұрын

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      @chikanmao8326@chikanmao83263 жыл бұрын

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    @harisujafar9233@harisujafar92333 жыл бұрын

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    @SuperNova-lh3wp@SuperNova-lh3wp2 жыл бұрын

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    @mohamedantar1249@mohamedantar1249 Жыл бұрын

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    @Theislandpinecone@Theislandpinecone5 жыл бұрын

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    @iReadFiction@iReadFiction3 ай бұрын

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    @dunaguero2408@dunaguero24085 ай бұрын

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    @Isaac.Correa@Isaac.Correa5 жыл бұрын

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    @ma.jenelynfernandez1860@ma.jenelynfernandez18607 ай бұрын

  • If its not stated in the problem, how so you know where is the function centered?

    @curtain1810@curtain18109 ай бұрын

  • Our professor gave us an assignment. And it doesn't have any polynomials on it. Just the approximate value. But we have to find its estimate value? I'm confused, is that possible.

    @kuroshitsuji2580@kuroshitsuji25803 жыл бұрын

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    @specopbookie@specopbookie3 жыл бұрын

  • does the value of the degree represent the number of accurate decimals ?

    @sfcxwedsx@sfcxwedsx11 ай бұрын

  • Thank you for this great explains but I hope you can raise the voice of videos Because its hard to listen to it 🥲💔

    @albanafsaja@albanafsaja2 жыл бұрын

  • 0 - 6:28 Taylor 6:29 Maclaurin

    @lazarnikolic65@lazarnikolic652 жыл бұрын

  • LOVED ❤

    @yonaswjobn6182@yonaswjobn61824 күн бұрын

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    @lizluft4621@lizluft46212 жыл бұрын

  • Im watching the calculus 2 playlist and im a bit confused to be honest. How did we come to this from divergent tests :d

    @abdurrahmankursatozkan9172@abdurrahmankursatozkan9172 Жыл бұрын

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    @verohwanza6113@verohwanza6113 Жыл бұрын

    • 😂😂😂😂😂🤦‍♂️

      @ARTDEVGRU247@ARTDEVGRU247 Жыл бұрын

  • Professor Organic Chemistry Tutor, thank you for a detail analysis of the Taylor and Maclurin Polynomials with Approximations in Calculus Two. Taylor/Maclurin Polynomials are common/well known topics in Science and Engineering. Professor Organic Chemistry Tutor, you made a typing error at the 1:04 minute mark in the video. For the nth term in the Tayor Polynomial, you have f raised to the n (x - c) raised to the fourth divided by four factorial, instead of f raised to the n (x - c) raised to the n divided by n factorial. Professor, please correct this small error in the video.

    @georgesadler7830@georgesadler78302 жыл бұрын

  • what does the center mean conceptually?

    @meep7895@meep78952 жыл бұрын

  • awesome bro

    @uditsaxena3844@uditsaxena38444 жыл бұрын

  • thank you so much !!!!!!!!!!!!!!!

    @youtubeaccount8613@youtubeaccount8613 Жыл бұрын

  • Thanks!

    @jayfloyd6135@jayfloyd6135 Жыл бұрын

  • thank you

    @user-on9rb4st7e@user-on9rb4st7eАй бұрын

  • 2:35 I thought a negative value cannot be evaluated inside a natural log function. How did he get ln(-1) = -1 when negative number are outside the domain of ln ?

    @jaydenrussell7491@jaydenrussell74912 жыл бұрын

    • he is evaluating c = 1 at the second derivative of f(x) which is -1/x^2 , not at f(x) = ln(x). when we plug c=1 into that second derivative we get -1 as the answer. he did not take ln (-1), because as you said that would be undefined!

      @someone1459@someone14592 жыл бұрын

  • when we increase the terms, why do we need to add (x-a)^n (where n is equal to the number of derivatives)? I get that we need to substitute x and a to find approximation, but why do the exponents increase?

    @janieli@janieli2 жыл бұрын

    • As he said, the number of terms indicates more accuracy. If you have a function and take more derivatives into account, you'll end up with a better approximation. It might be difficult to put it into words. Check out 3Blue1Brown's Taylor polynomials video. His animations were really helpful.

      @adnanmohammed4354@adnanmohammed43542 жыл бұрын

  • struggling in calc bc ;-; thx for the help

    @NerdBirb@NerdBirb3 ай бұрын

  • Wish I had watched this *before* the exam :(

    @RandomGuy0400@RandomGuy0400 Жыл бұрын

  • For ln(1.1), why put 0.1 instead of 1.1?

    @krislegends@krislegends8 күн бұрын

  • bro may allah bless u. ur my idol after cristiano tho❤‍🔥❤‍🔥

    @sselluos@sselluos Жыл бұрын

  • Derivatives of 2/x^3 is not 6/x^4?

    @internetsurfermr80@internetsurfermr805 жыл бұрын

    • the video put -6/x^4 because 2/x^3 is basically 2x^(-3). and so by doing simple exponential differentiation... (-3)*2x^(-3-1) = -6x^(-4) which is = -6/x^4

      @xkilla911@xkilla9115 жыл бұрын

    • you're right, its negative

      @Iron_Age@Iron_Age5 жыл бұрын

    • He said -6/x^4

      @zacharysantana3861@zacharysantana38614 жыл бұрын

  • Why didn't you subtract 1 when subbing for x=1.1 in the P(4) equation?

    @katrinawalker1702@katrinawalker17023 жыл бұрын

    • he did, it became .1 where the (x-1) things were

      @queenpenguin5685@queenpenguin56852 жыл бұрын

  • Interesting Fact: This video gets on average 1 like per day, since it was created 997 days ago and i just put 997 th like

    @bexruzkarimov6783@bexruzkarimov67833 жыл бұрын

    • There are 5.2k likes right now!

      @Susu16243@Susu16243Ай бұрын

  • wow, wish my teacher will explain it like this instead of skipping most of the steps.

    @MinaHussainArt@MinaHussainArt3 жыл бұрын

  • I'm bussing for u

    @part3mis82@part3mis826 ай бұрын

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    @edungdivinefavour6977@edungdivinefavour6977 Жыл бұрын

  • Ap exam season 🤞

    @caelinfergx@caelinfergx Жыл бұрын

  • Take my whole degree

    @LA-cm9uo@LA-cm9uo2 ай бұрын

  • thank you! T-T

    @kiva4090@kiva4090 Жыл бұрын

  • if 3! = 3 x 2 x 1 why don't we just write 6? Same with 4! why isn't just written as 24

    @nraishanzr3333@nraishanzr33333 жыл бұрын

    • You could. He just didn't. They are the same thing though

      @g.molina10@g.molina103 жыл бұрын

    • It's for making the general formula easier to write. So rather than listing all factorials 1, 2, 6, 24, 120... we write n! where n is the degree of our polynomial. So then when plugging something into the equation, it's nice to see where it came from.

      @vez3834@vez38342 жыл бұрын

  • wrong, you must use the Landau's symbols

    @martinhazard5982@martinhazard59823 жыл бұрын

  • I have an exam in 2 hours. I'm fucked...

    @jaro551@jaro5512 жыл бұрын

  • Jg should replace charlamagne on breakfast club he the real god

    @bradengels5306@bradengels53062 жыл бұрын

  • I am an idiot. 1.1-1=0.1

    @katrinawalker1702@katrinawalker17023 жыл бұрын

  • just another cook book demonstration in a quiet no nonsense manner sadly no discussion of the beautiful underlying philosophy of the method

    @qualquan@qualquan4 жыл бұрын

    • you can make a video about it then

      @mashu3151@mashu31513 жыл бұрын

    • can you share a link?

      @ahmedhadwan9273@ahmedhadwan92733 жыл бұрын

  • I do not understand how you and khan academy have made all these videos that anyone could possibly need. I just want to hear a different voice for once but your two's content.

    @keylee85@keylee854 жыл бұрын

    • lol it's not like Khan Academy and Organic Chemist have an oligopoly on FREE math and science help videos. And there are plenty of videos from a wide range of YTers on these very topics. If you're tired of their voices, stop clicking on the first/second search result.

      @tigercub1998@tigercub19983 жыл бұрын

    • Then why tf are you here?

      @ian.ambrose@ian.ambrose2 жыл бұрын

  • Change the channel name

    @skar44@skar443 жыл бұрын

  • thanks. but for God's sake get a pen!

    @AliTahreiSh@AliTahreiSh4 жыл бұрын

  • I learned this in 9th grade 😭 bro is so helpful but that was homeschool. They didnt teach me this in 10th. When I asked about it they said it for 12th grade. 🥲 Still gonna learn it though

    @itsyoboy_yui@itsyoboy_yuiАй бұрын

  • This man is literally the best for any subject!

    @mohamedahmedsayed9330@mohamedahmedsayed93302 жыл бұрын
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