Newton's Method
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- Опубликовано: 29 сен 2024
- This calculus video tutorial provides a basic introduction into newton's method. It explains how to use newton's method to find the zero of a function which is the same as the x-intercept.
Derivatives - Fast Review: • Calculus 1 - Derivatives
Introduction to Related Rates:
• Introduction to Relate...
Local Maximum & Minimum:
• Finding Local Maximum ...
Mean Value Theorem:
• Mean Value Theorem
Concavity & Inflection Points:
• Concavity, Inflection ...
________________________________
L'Hopital's Rule:
• L'hopital's rule
Curve Sketching With Derivatives:
• Curve Sketching - Grap...
Newton's Method:
• Newton's Method
Optimization Problems:
• Optimization Problems ...
Marginal Cost & Total Average Cost:
• Marginal Cost and Aver...
__________________________________
Marginal Revenue and Profit:
• Marginal Cost, Margina...
Tangent Line Approximations:
• Finding The Linearizat...
Differentials & Local Linearization:
• Differentials and Deri...
Estimating Function Values:
• Estimating Function Va...
Antiderivatives:
• Antiderivatives
__________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: ruclips.net/video/lx8RcYcYVuU/видео.html
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this man has helped me more than my college math professor.
Me too..i am greatful to this man
literally every comment section in any math channel:
Of course, because your Professor doesnt give you rewind button
That's because you don't ask your professor.
Relatable
Why yes, the videos from 2006 are still helping.
ONE WIZZARD but 2018...
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i just watched the 21 minute lecture video from our professor and I did not understand anything he said, but only minutes into this video, I legitimately understood it right away
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This video is so helpful, thank you! I missed the lesson we learnt this in and have a SAC on it tomorrow, but after this video I feel like I can do it.
Professor Organic Chemistry Tutor, thank you for a powerful lecture on the classical Newton-Raphson method from Calculus One. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.
The best 11 min I've spent.
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Love how he showed his working at every step
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Great video! You would think Newton would have come up with something easier than this to find a zero
newton is donkey
Very good explanation. thanks JG.
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now is 2021,still hepling)
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sorry I want to ask that how to guess the initial number?
Is it the same as doing with the first and second derivative? (Or in general Hessian and Jacobian matrix)
Nvm, in this video you're seeking X such that f(X)=0. With the first and second derivatives, we seek minimas or maximas
Why did u say if n is 1, then n + 1 is going to be 2. Why n is 1? I don't understand where u got that from?
start with 1...thats it
pls teach at my uni
Why didn't you say how to figure out the other 2 solutions? Math lovers will go bonkers wanting the answer!
Elvis Presley
just repeat the same process??
You need to find the boundary for the zero though
U go check where the sign vary in another 2 number for + to - or the opposite then u do the same :)
Rolle's sequence helps
Factor theorem
Can someone please help me with this out(im a bit too lazy to try it out myself) but would i still arrive to 0,5374 if i started my x1 as 0.6 and not 0.5?
You will still end up on 0.53 approximately.
How to determine the initial guess?
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This is the Secant method right ?
Because that’s trivial
ruclips.net/channel/UCEd7uHTV9Xc7IIpUvKrw4Lwvideos
A 2018 video is still helping 2024 students.....
What differs you from professors is that you genuinely want people to understand. Some professors deliberately make subjects hard with unnnecessary convoluted language. Why you may ask? Pride, pride kills.
I felt the same way during many maths lessons. It's either that or they've seen the subject so many times they believe it's obvious for anyone, when it really isn't.
Teach it the simplest way possible, teach it the way an elementary school child could understand, then you'll be teaching it properly. At least at first, once the concept is clear you can and should build more on it.
Exactly right.
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Hello, I am an Arab from Iraq. I am studying to explain that you are studying in an excellent manner. I hope that you will translate the rest of the materials. We in Iraq study these materials as well. Thank you for your beautiful explanation.
I love how you explain things it just works. I feel like there are soo many professors who have a PHD in whatever they teach and should definietly qualifiy to teach students the concepts right? Well why do we always come back here? The thing is I feel like most professors are very skilled in their area of study, but just "doing" the problem and not really explaining why is not really teaching but instead demonstrating.
Dude thanks you so much. In 11 min you perfectly explained to me a lesson that my my professor fail at doing in 2 hours.
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Seriously LOVE your work! I understand you so much better than my own teacher. Thank you so much for posting! Keep it up! I have no idea why you are not as popular as Khan Academy. I prefer your chemistry videos to Khan Academy chemistry videos. Keep it up! I love it!
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I AM GONNA SAY THIS AGAIN! YOU ARE THE BEST!!! I hope you get rightfully recognized for your hard work because you have helped so many of us! Thank you soo sooo much for making life so much easier :)
Learning this at 5:50am, about 3 hours right before my quiz, thank you so much for the explanation and examples.
did it go well?
Im doing the same here
same scenario lol it's 5:15am, and I have exam in about 3 hours, what a coincidence
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Am I the only one who thinks one day maybe RUclips will be like a school and people can take exams to earn certain degrees/qualifications
Could you pleaseeee do a video on Interpolation: Vandermonde method, Newtons method, and Lagrange method? Absolutely in love with your video's! much support!
I really hate these types of problems. So tedious
How you know when to stop? Can you find the n number? I have to code it and i dont know when to stop.
Nice video!
@The Organic Chemistry Tutor
you stop when you feel like you've got enough accuracy.
Hey could anyone pls explain me that after writing xn + 1= why is there a sign of minus instead of plus after the equal to ...i.e:-xn-f(xn)/...??
Literally saving my Thermodynamics grade right now, thank you good sir.
You know that i open your channel first on any subject 👍🏿
Literally learned Newton's Method in 10 minutes after sitting in class for 2.5 hours trying to comprehend the dumpster fire my calc prof churned out.
Wtf is wrong with higher education?
Thank you, Bout to write my exam. Thank you I pray that you will never have any need. God would continually bless you
Can someone explain to me where the value of X1 came from (0.5)? He said he picked a value between 0 and 1 but I don't understand why.
Because when x = 0, the y-value is is 1, and when x = 1, the y-value is -2. Because the y-value goes from being positive (1) to negative (-2), it must cross the x-axis downwards from 1 to -2. You can graph this to see it easier. That's why, he picked a point between x = 0 and x = 1, because he knows that it crosses the x-axis in between.
I'm leaving a comment for myself Incase I return to this video TwT
It’s 2022 and this man is still my go-to math tutorial. Legendary
-Take the first three odd integers: 1,3,5
-Double them thusly: 113355
-Divide the last three by the first three thusly: 355/113
There ya go, Pi accurate to 6 decimal places!
One thing you didn't mention is that this is used for fast square root algorithms. The famous Quake 3 Fast Inverse Square root algorithm uses only 2 iterations for 7 decimals of precision. It can even be optimized by using a "magic number" to get close to most guesses on the first try. Dave's Garage went over it and described the error as very minimal while the calculation time is only a few cycles as compared to traditional square root finders that test certain numbers to find the root. (i.e. looping from 0 or binary search).
Basically this method is very useful for guessing things when you can't spare the energy to find out the whole answer. Wonder if it works with pi as well.
If it wasn't for him I would not be passing Maths in College rn and I wouldn't even bother to complete school to get this bloody degree.
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How did newton get calculator in that century, it is annoying to calculate these problems without any calculator.
its annoying even with calculator
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Hi sir,
thanks for everything but could you please do videos about bisection method and secant method as well??
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Hey dude, your content is great and been really helpful!
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I’ve been thought to divide the function by x-(something I have to guess) until there is no remainder and then I’ll get (x-(the number))(answer). X=the number I guessed. I think it’s called the factor theorem
This cat is unquestionably one of the best out there. Kudos to you!
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1 July 2024 ko kon dekh raha
Why not just solve the original function for x intercepts?
I have the same question but I think it's cause factoring polynomials with increasingly large exponents (or at least larger than x^2) is probably going to be increasingly tedious as well.
Try solving
Sin (x) = 1 - x
You'll see that this method will give you the answer easily but trying to solve it traditionally without graphs is very tough
Because solving x^3 - 4x^2 + 1 = 0 algebraically using only real-valued radicals is impossible. Let x = y + 4/3. Hence (x + 4/3)^3 - 4(y + 4/3)^2 + 1 = y^3 + 4y^2 + 16y/3 + 64/27 - 4y^2 - 32y/3 - 64/9 + 1 = y^3 - 16y/3 - 101/27. This is equivalent to y^3 = 16y/3 + 101/27. Let y = u + v. Hence (u + v)^3 = 3uv(u + v) + u^3 + v^3 = y^3 = 3uvy + u^3 + v^3. Therefore, uv = 16/3 and u^3 + v^3 = 101/27. uv = 16/3 implies v = 16/(3u), and u^3 + 4096/(27u^3) = 101/27, equivalent to u^6 + 4096/27 = 101u^3/27. Thus u^3 = [101/27 + sqrt(101^2/27^2 - 4096/27)]/2 = [101 + sqrt(10201 - 110592)]/54 = [101 + i·sqrt(100391)]/54. Therefore, u = cbrt([101 + i·sqrt(100391)]/2)/3 and v = cbrt([101 - i·sqrt(100391)]/2). Therefore, x = [cbrt([101 + i·sqrt(100391)]/2) + cbrt([101 - i·sqrt(100391)]/2) - 4]/3. This, however, cannot be simplified any further.
Because some polynomials cannot be solved nicely. It's impossible for any polynomial greater than the 5th power to have an algebraic formula for x, and in some instances, you do not need to solve any equation for the exact value for irl applications. This is because parts that are machined have a physical error tolerance greater than the value derived from newton's method.
@@WavyCats Algebraic formula,* to be specific. You can have a formula in terms of Bring radicals, but this is obviously not an algebraic formula.
I was hoping you would explain why this works in the first place
this looked so scary at first since i didnt understand it at class. But here i watch a 10 min video and i easily understood it thank you!
I'll stick with synthetic division for now or use this when my college teaches me. The process is too long for me. In which scenarios is this method useful? I would love to know that to appreciate this method.
This works for all continuously differential equations, not just polynomials. For example, f(x) = cos(x)sin(x) - e^x + 4x^2.
ruclips.net/video/8wLwxmjrZj8/видео.html makes a perfect background music for this video
i´ll thank you inside my heart bcz you are so simple and high quality of education
why we take x1 = 0.5 . How it came? I did not understand that part much!
please can you make videos to tackle all numerical methods, especially the iterative methods
It is unbelievable how all of your videos are easily understandable!!! Love you!
Had to code Newton's method...ugh..... this video helped me get through it. Thanks mate!!!!
thanks bruh
What does it mean when you divide f(x) by f'(x)? I can get the underneath principle! Can someone helps me?
@Abbas Ali yeah, but what is the physical significance of dividing the value of a function by the slope of tangent at the point? Where does this method come from? It is the one thing i clicked on this video to know
I love watching your videos because I understand you better. Sometimes I just lower my lecturer's voice and listen to your videos. You just make everything so easy.
you, kind sir, saved my sweet ass. thank you from bottom of my heart
My answer was exactly zero. maybe I typed in wrong
r(2) < a 에서 우변으로 이항하면 0 < a - r(2) 양변 제곱하면 0 < a^2 - 2a*r(2) + 2
2a * r(2) < (a^2 + 2)
r(2) < (a^2 + 2) / 2a 끝!!!
my teacher's use this to teach us, they just send links of your vids
x=x-f/f'
this is area of a rectangle under (( f')) curve not f
(x-x)*f'=f
f is the integral of the f' ( area)
x-x is the (width)
f' is the (length), the distance between x-axis to the (( f')) curve
of course, it is an approximation because the area is not exact rectangle
Thanks
No im not searching ive already found it...
Im here because of the fast square root video
Thank you this was well explained!
Explained it way better than my book
It's 2023. Still helping me👌🏽
do we take x1 = 0.5 in any sum? anyone reply!!
No, but the method is approximation, you continue using the formula over and over and you approach the answer. You can choose almost any x, but you should choose a reasonable one and one that doesn’t make you do too much work
low audio not audible with only speakers
What is the program you use to writting?
Very Helpful! thanks
Please no video on fixed point iteration method?
I have covid an a maths exam in 15 days, my math tutor was cancelled because of covid. thank you for helping me pass my exams hopefully
Is x2 the first iteration or the second iteration ?