How is it that I read through my course notes 5 times and don't learn a thing, yet after 10 minutes with you I fully understand the concept - you are a legend.
How hasn't a university hired this man yet? I'd rather give him my tuition then my current school. Learned an hour and a half of material from my professor in 10 minutes from this guy.
I was going to go to Uni for Microbiology until I learned I had to learn Polynomials and Calculus. I really appreciate someone was able to show me what I'd get myself into before I dropped a band on the class because homie, this is not it for me. I think going to Trade school is going to be my best option.
Been sick all week and havent left my dorm for days. Calc 2 exam today and i'm finally well enough to sit down and study. thank you sir for helping me hopefully not get a 0%
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 ?
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!
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.
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.
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?
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.
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
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.
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.
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.
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
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this man should receive a special award, this channel saved me from online class. the explanation is way better than any of my profesors :v
ikr...
true professors made this seem so difficult
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are the videos from 2006 really helping :D
@@paularnold2124 Yes.
@@mrbanana6464 YES. I'd easily invest in this channel over Bitcoin despite my initials being BTC.
this comment section is gold
This man is literally the best for any subject!
I watch you from igcse to gce and now university life. God Bless The Organic Chemistry Tutor!
How is it that I read through my course notes 5 times and don't learn a thing, yet after 10 minutes with you I fully understand the concept - you are a legend.
Personally notes don’t work for me, so I don’t even bother taking them. I exclusively watch videos
@@aidanflynn2037 going to start doing that thanks
@@aidanflynn2037 I can relate, but I get very self-conscious when I'm just gawking at the board during a lecture.
@@AntonioRegueira-mh4wq grow up
Just binged like 8 of your vids in a row. You're a big help! Thanks for the effort
Me watching a free TH-cam video explain the concepts better then the profs my tuition is paying 👁👄👁
how the hell do you know everything on the earth and have an ability to explain in such a good way?
How hasn't a university hired this man yet? I'd rather give him my tuition then my current school.
Learned an hour and a half of material from my professor in 10 minutes from this guy.
he does work for one
@@Catsanddogs9374 which one
@@mellie4679 not telling
@@Catsanddogs9374 lmao what
@@mellie4679 UCLA
ever heard of a one man army? this guy is a one man educational system
I had 25 min lecture about the T&M series and had no clue what was that. Thank you for making it so easy to understand
This is the best prof ever,, he has helped me understand very many things and pass in all exams
This guy is a LEGEND!!!
This was the most helpful thing ever.
I was going to go to Uni for Microbiology until I learned I had to learn Polynomials and Calculus. I really appreciate someone was able to show me what I'd get myself into before I dropped a band on the class because homie, this is not it for me. I think going to Trade school is going to be my best option.
Thumbs up if this dude teaches you better than your current Uni Prof.
Been sick all week and havent left my dorm for days. Calc 2 exam today and i'm finally well enough to sit down and study. thank you sir for helping me hopefully not get a 0%
Thanks!
BRO HOW ARE U SO GOOD!!!!
its time for a face reveal
Fr💀
No.
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Who really cares… He’s probably just a normal looking person like everybody else
Chadd @@AV4Life
0 - 6:28 Taylor
6:29 Maclaurin
This knows everything at this point
You are a big part of my education life
god videos like this really make the professors at my uni look so inept at teaching such a basic concept...
I LOVE THIS MAN SO MUCH
keep up the good work! much appreciated
Fuorf degree :) Bawston in the house
I would just like to thank you for all you represent ❤️💚
Thank you so much! The professors make this stuff so hard to understand.
absolutely amazing!
LOVED ❤
U are a legend
Very helpful! thank you.
study pug needs to chill
your vids are excellent.
struggling in calc bc ;-; thx for the help
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
There are 5.2k likes right now!
Very helpful thank you
Thank you, I really got it
Thank you so much ❤
You are the best 💓♥️
THANK YOU!😘
Yes the videos from 2006 are working on if you walk with organic tutor
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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 ?
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!
Thank you!!
Thank you for this great explains but I hope you can raise the voice of videos Because its hard to listen to it 🥲💔
thank you so much !!!!!!!!!!!!!!!
thank you👏👏👏very much👏👏👏👏👏👏👏👏👏 RESPECT
wow, wish my teacher will explain it like this instead of skipping most of the steps.
Wish I had watched this *before* the exam
:(
thank you
awesome bro
If its not stated in the problem, how so you know where is the function centered?
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.
does the value of the degree represent the number of accurate decimals ?
what does the center mean conceptually?
Im watching the calculus 2 playlist and im a bit confused to be honest. How did we come to this from divergent tests :d
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.
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?
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.
I think the first formular is supposed to end with f^n(c)(x-c)^n
÷ n!
Ap exam season 🤞
I'm bussing for u
Take my whole degree
Derivatives of 2/x^3 is not 6/x^4?
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
you're right, its negative
He said -6/x^4
For ln(1.1), why put 0.1 instead of 1.1?
1.1 - 1 = 0.1. He just didn't show the work for it because it wasn't needed
@@babygravy7 Is 1 the center?
Yes, one is the center (the problem says it’s centered at one).
And I thought Taylor was swift lol.......❤in Jesus Christ ❤ SE7EN
Why didn't you subtract 1 when subbing for x=1.1 in the P(4) equation?
he did, it became .1 where the (x-1) things were
Can you please take my school fees instead of my university?🤣
if 3! = 3 x 2 x 1 why don't we just write 6? Same with 4! why isn't just written as 24
You could. He just didn't. They are the same thing though
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.
I have an exam in 2 hours. I'm fucked...
Jg should replace charlamagne on breakfast club he the real god
wrong, you must use the Landau's symbols
thank you! T-T
I am an idiot. 1.1-1=0.1
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.
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.
Then why tf are you here?
just another cook book demonstration in a quiet no nonsense manner
sadly no discussion of the beautiful underlying
philosophy of the method
you can make a video about it then
can you share a link?
Change the channel name
thanks. but for God's sake get a pen!
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
This man is literally the best for any subject!