Newton's Method
ฝัง
- เผยแพร่เมื่อ 28 พ.ย. 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.
Derivative Applications - Free Formula Sheet: bit.ly/4eV6r1b
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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 ...
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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...
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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
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Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
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Derivative Applications - Free Formula Sheet: bit.ly/4eV6r1b
Final Exams and Video Playlists: www.video-tutor.net/
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This is the Secant method right ?
Because that’s trivial
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Of course, because your Professor doesnt give you rewind button
That's because you don't ask your professor.
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ONE WIZZARD but 2018...
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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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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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A 2018 video is still helping 2024 students.....
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2024 now
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Literally saving my Thermodynamics grade right now, thank you good sir.
If you are studying thermodynamics, you should know about Newton's method.
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-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!
your voice is soothing to hear not boring
This is sooo much better than the fixed point method.
The best 11 min I've spent.
Could you pleaseeee do a video on Interpolation: Vandermonde method, Newtons method, and Lagrange method? Absolutely in love with your video's! much support!
Love how he showed his working at every step
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.
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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 TH-cam TV with the Organic Chemistry Tutor.
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Explained it way better than my book
Had to code Newton's method...ugh..... this video helped me get through it. Thanks mate!!!!
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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.
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Thanks for more clarity
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Thanks for your detailed explanation!
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.
Simple and good explanation thanks.
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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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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 for your channel mate. Good stuff.
Thank you for your helpful video
please can you make videos to tackle all numerical methods, especially the iterative methods
this was very helpful, thank you
You're amazing man!
And his voice??
Good teacher
I was hoping you would explain why this works in the first place
thank god math doesnt change over the years xd
amen :D
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
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)/...??
One of the best contents thank you sir
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.
Nice video,easy to understand. Hope I can learn more about your video and thank you for your teaching.
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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.
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!!!
great video! really well explained.
Thanks alot. This is really helpful
Could you please make a video explaining Halley's method?🥺
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?