Derivative Applications - Free Formula Sheet: bit.ly/4eV6r1b Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ua-cam.com/video/lx8RcYcYVuU/v-deo.html
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
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 :)
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.
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.
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.
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!
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.
-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!
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.
Could you pleaseeee do a video on Interpolation: Vandermonde method, Newtons method, and Lagrange method? Absolutely in love with your video's! much support!
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 UA-cam TV with the Organic Chemistry Tutor.
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.
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.
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.
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
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
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 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.
Derivative Applications - Free Formula Sheet: bit.ly/4eV6r1b
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: ua-cam.com/video/lx8RcYcYVuU/v-deo.html
Guess what😅
Why this man still don't get a Nobel Peace Prize for saving student's life around the globe?
❤ I bow to your efforts man
This is the Secant method right ?
Because that’s trivial
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like yeah i used this channel all my life , for chemistry in secondary school now , in uni
and science in elementary school
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
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
you are the only channel I don't skip ads
Why yes, the videos from 2006 are still helping.
ONE WIZZARD but 2018...
Yessss
That fucking ad
That ad tho😂
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I owe this man my Diploma, I wouldn't have made it through Calc or Trig without you King!!!
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 :)
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.
ua-cam.com/video/cLBs5VDfh5Y/v-deo.html
this guy literally knows every topic out there
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.
WTF kendrick lamar
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.
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
@@eyoelmesfin9187 lock in
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!
I know right???? Khan academy is a bit overrated!!! This man deserves 78% of my tuition fees honestly 😒
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I agree. I get bored whenever I watch khan talk. This man gets straight to the point
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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.
It’s 2022 and this man is still my go-to math tutorial. Legendary
2024 now
Thank you, Bout to write my exam. Thank you I pray that you will never have any need. God would continually bless you
A 2018 video is still helping 2024 students.....
You know that i open your channel first on any subject 👍🏿
Literally saving my Thermodynamics grade right now, thank you good sir.
If you are studying thermodynamics, you should know about Newton's method.
"After all these years, this man still helps me more than my professors ever have."
It is unbelievable how all of your videos are easily understandable!!! Love you!
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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!
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.
STILL WAITING FOR YOUR FULL TUTORIAL ON ODE AND PDE ...COS NO ONE DOES IT BETTER THAN YOU..KEEP THE GOOD WORK
Could you pleaseeee do a video on Interpolation: Vandermonde method, Newtons method, and Lagrange method? Absolutely in love with your video's! much support!
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 UA-cam TV with the Organic Chemistry Tutor.
i´ll thank you inside my heart bcz you are so simple and high quality of education
Yow... The best tutor.. Ur calm voice and techings makes it damn easy to understand ❤
Thank you for helping me not flunk Cal 1, these vids are lifesavers
greetings from Tanzania
asante sana mkuu
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Hey dude, your content is great and been really helpful!
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Great work mashallah one day I could see this professor
your voice is soothing to hear not boring
Your voice is so soothing, and your content even more! ❤️
This is sooo much better than the fixed point 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
really appreciate your time and dedication!!!
The best 11 min I've spent.
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I thought I was the only creepy one who thought that lol, but seriously really soothing.
And lowkey sexy 😏
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Had to code Newton's method...ugh..... this video helped me get through it. Thanks mate!!!!
Love how he showed his working at every step
u r one of the best ... keep going 👍👍👍👍👍
That is what I am talking about! That’s why he’s the MVP! That’s why he’s the GOAT! The GOAT!
It is 2024 and am still here😂
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!
you are the best king of math
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.
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.
You are the saviour of my life.....😅😅
I can't thank you enough, you have saved me number of times !
Thank you this was well explained!
LITERALLY I UNDERSTAND THIS NOW TYSMMMMMMM
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)/...??
Hi sir,
thanks for everything but could you please do videos about bisection method and secant method as well??
Thanks for your channel mate. Good stuff.
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.
dude you really saved my ass
2 days before the final just learned the last month of lectures in the last 3 days let's see how it goes
This was amazing, thank you very much
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Nice video,easy to understand. Hope I can learn more about your video and thank you for your teaching.
Very good explanation. thanks JG.
I love this channel. Thanks
Explained it way better than my book
Thanks for your detailed explanation!
THANK YOU SO MUCH YOURE THE GOAT
Great video! You would think Newton would have come up with something easier than this to find a zero
newton is donkey
Simple and good explanation thanks.
One of the best contents thank you sir
You're amazing man!
And his voice??
Am I the only one who thinks one day maybe UA-cam will be like a school and people can take exams to earn certain degrees/qualifications
Thank you for your helpful video
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.
Thanks for more clarity
who needs prof office hours when you got videos like these...
great video! really well explained.
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
this was very helpful, thank you
YOU HELP ME SO MUCH
THANK YOU !!!
Great teacher 👍
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
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!!!
Thanks for the video
Thanks alot. This is really helpful
legend always have been since grade 11 until my 2nd year in uni XD
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
thank god math doesnt change over the years xd
amen :D
What is the program you use to writting?
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.
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.
It's 2023. Still helping me👌🏽
please can you make videos to tackle all numerical methods, especially the iterative methods
Great video! Can you do one for Regula Falsi?
you have a good day aswell bro
Nice explanation
i really love u man ❤❤❤❤