Lagrange Interpolating Polynomial - Easy Method

[@AFMathandEngineering]

Hope you enjoyed the video, let us know if it helped down below in the comments! Interest in learning the Newton Interpolating Polynomial? Follow this link: kzbin.info/www/bejne/npTWc52fr7Zsjpo

[@lisi4502]

Yes I enjoyed it thank you Very helpful.

[@nezerbtc6936]

what if the value of x is not given in the equation

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I didn't understand it after this video you have made me look stupid lol 😂 😂

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You are a genius . Btw My exam starts in 1 hour.

[@AFMathandEngineering]

Haha thanks! Hope it goes well!

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did you pass the exam ?

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Good luck Ur gonna need it, 😆😆😆

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Mine starts in 6 hours.

[@Amir3]

You are by FAR the best , even million times better than my "Professor Engineer Scientist Doctor" teacher

[@Cif47]

I understand it for the first go. At my school for some reason didn't know at all.. we got too many formulas and theory. I like the most simple method and demonstation. Thank you for the vid

[@AFMathandEngineering]

Great, thanks for sharing! We felt the same as you when we learned it at university and wanted to put it in more of a reasonable format rather than extremely confusing formulas and theory. Glad you enjoyed the video!

[@mrarcticaaa1101]

this is one of the most underrated channels. You saved me second time this week, thank you so much :D

[@AFMathandEngineering]

MrArcticaaa thanks again, glad to see you're enjoying the channel!

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100 years later and I find this to be the most helpful of a;; the videos I have checked out

[@kayleerusike5633]

Oh my gosh!!! This made it so much simpler. Thank you.

[@AFMathandEngineering]

Always glad to hear feedback like this, making overly complicated subjects more simple is our goal here! Thanks!

[@viarobb8988]

Wow, this is so much easier than how I learned it in class! Thank you!!

[@ashvinpraveen]

This had helped so much! I was really struggling with this concept and you made it so easy!! Thank you

[@idslw3489]

Out of all videos on youtube this explains it the best.

[@JohnKivi66]

Wow, thank you, now the formula seems SOOOO much clearer!

[@godfrey769]

watching this before my CS math 3 final tomorrow, bless you man i was struggling with this

[@Andrew_k_]

I tried to study this method for more than an hour and didn't get it and you just explained it in 8 mins ty so much

[@fidelmadzidza2182]

Dude you make things so super clear. I love it !!!

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am seeing posted 5yrs ago,but bless you bro this was so helpful ❤

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I’m taking numerical analysis currently and your channel is a life saver !

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same its been kicking my ass

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you just simplified my whole entire life in five minutes

[@chinonsoonyejaka7508]

Damn. This guy makes big formulas look like basic algebra. Thanks man

[@mohamed-oh1kt]

Absolutely insane. Saved my life in 5 mins

[@IshmeneMakemillz]

the video is 8 minutes

[@jonasmoyo9479]

thanks. This is straight to the point, you don't need to spend hours listening to your lecturer if his like mine 😒

[@mansurshuaib4940]

I really enjoyed the video I have been thinking how to assimilate the formular but with your explanation I should be able to solve the question with out memorizing formulars thank you once again

[@Strong256]

Dude you should come and give a lecture to our lecturer. This is so simple! Wow

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You have saved my life sir.!🎉

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Thank you . You are the best . I am preparing for the exam . After watching Video i know what i have to do .

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my professor is terrible at explaining this stuff, but i finally understand it now. thank you so much!

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This is the most helpful yt video I’ve ever seen

[@muhammadtaqveemahsanpasha4045]

You sir, are a hero. I am miserable at maths but this video made Lagrange interpolation look like a piece of cake. subscribed!

[@AFMathandEngineering]

Thanks bud! Anyone can be good at math with enough practice, keep at it!

[@amaladiguna8873]

Genius and also saved my butt from the dreaded pre-finals "this will determine half your score" homework

[@zohaibdev]

You made it too simple to understand. awesome

[@saifshah731]

wao man. perfect explanation. Thanks a lot. Kindly make videos like this for other topics too

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Thank you very much! I need this concept for an investigation I'm doing in grade 12.

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[@AFMathandEngineering]

Stephanie Stampher haha excellent, that's what our channel is for! good luck!

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I have Linear Algebra & Numerical Methods Final and it's helps me alot.

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Thanks!

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you are a life savior

[@osaiasilolohea6107]

Thanks bro,,, came just to get a brief idea of this before heading to class...

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Sir, you're a life saver. Thank you, sir!

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You saved an entire class sir

[@aaronmcmahoun3552]

You're a life saver man!

[@RazorIance]

man that formula mustve been one of the most confusing things ive had to learn in school. thanks

[@adrmad8849]

Cool explanation, as computer-science student I appreciate it!

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This is pure gold! Thanks a lot!!

[@avhnfq]

Thanks, I have a final today, this helped a lot. Subscribed.

[@AFMathandEngineering]

Glad we could help!

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😂I have my test in an hour and I get this video, the KZbin algorithm is definitely something.

[@spencersteinmetz2994]

Great job explaining! I found this super helpful as I found using the formulas given was slightly confusing.

[@AFMathandEngineering]

For sure, that's why we thought to make this video! Glad it helped!

[@swapstar]

I am solving advent of code 2023 and this helped a lot 🙏

[@rahulpatel3734]

Thank you so much wow very easy way explain nice video

[@sneharainaa]

This was really really helpful! Thanks a ton!

[@AFMathandEngineering]

Thanks alot, glad we could help!

[@isaacaskey1410]

Great video, simple and concise!

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You're a good teacher

[@whatamievendoing]

Awesome! Super helpful stuff. Thanks for publishing!

[@AFMathandEngineering]

Thanks alot!

[@nahuel3256]

Oh man! you're a star! Thank you very much!

[@AFMathandEngineering]

Thank you for positive feedback glad you enjoyed the video!

[@imdanli]

Thank u so much! I was so stressed by notation teacher gave

[@doaaahmed9730]

U made it really easy . Thank u😊

[@tisetsosheron7598]

wow this is so much easier and helpful. thank you

[@emmanuelenemali8238]

Thank you so much Sir. God bless you

[@arrtemfly]

simple and clear! very nice video, thx!

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Amazing 👍 Thank you 🙌

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Very well explained. Thank you

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thanks for the 7 in mathematical analysis !!!

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great work!! very helpful!!

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Thank you dr Hasimah

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thank you. so many videos over complicate this. just trying to pass my engineering exam so i can build airplanes not trying to learn math and stuff

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Wow best expression ever thank you sir

[@unicorn8533]

you gotta teach our teachers they just like to complicate easy stuffs thanks a bunch

[@dogeness]

This was so helpful. Now the formula with the sum and Dirac delta function and all that shit actually makes sense

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that what is called perfection, thank you !!

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Thank you very much sir. Very helpful!

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Thank you. Helped a lot

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Thank you brother you made my day

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You are legend man

[@amnahabayed6353]

thank you so much

[@adhisuess7090]

hello, thank you, it's clear presentation, but I have question regarding the result, f(2) = -10.2, your range [-2,8] and domain [-2,4], how come f(2) beyond the range? calculation mistake?

[@MBearr1221]

Edit (Original replay at bottom): It actually makes sense if you think about it. A standard polynomial, for example y=(x-2)(x-3) is rewritten as y=x²-5x+6. It has an exponent of 2, which graphs as a parabola. For every additional x value we include in the polynomial, the exponent increases. The graph of a 3rd degree polynomial follows an S shape. A fourth degree polynomial returns to a parabola shape, and so on. Therefore it stands to reason that the graph of an equation with an increasing number of data sets must follow this back and forth pattern. If you graph the given data points from the video and attempt to draw a curve through all of the points without making the curve change direction between two points, the curve must extend down at x=0 before turning back upward to reach 8 at x=4 Original: I was wondering that too, but a quick calculation seems to confirm that he did it correctly

[@robertveith6383]

​@@MBearr1221-- No, a fourth degree polynomial does not return to a parabolic shape.

[@BlameHari13]

The most simplest videos give the best answer -someone

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a beast!!! great example!!

[@AFMathandEngineering]

Thanks!

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ur awesome 😊🥰 thank youuuuu

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Thankksss man this was super useful ;)

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Thank you ! You just saved me

[@riyaaditya]

Thank you 🌝

[@nazria4375]

Thank you so much ❤

[@MetallurgyFacts]

Great video,thanks.

[@hawaslianas]

nice simple and clear thank your

[@minezgio3175]

Thanks man really helpful video. I wish my instructor had explained stuff in that simple way.

[@AFMathandEngineering]

Thanks, glad you enjoyed it! Professors at university/college kind of have to teach the theory behind these concepts and they sometimes neglect how to easily solve the problems..that's where we come in haha! Thanks for the comment.

[@rahatullah4232]

Just E.. a.. s.. y . Thanks man❤

[@Jomjom1114]

thanks for explaining king

[@anchovies8646]

Thank you!

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Thank you thank you thank you!!!!

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my g!!! thank you bruz

[@thomasgreen372]

Hey, Great video . does this apply when they are asking for ..lets say, 1st order through 3rd order?

[@AFMathandEngineering]

Thanks bud appreciate the positive feedback. Check out matlabs explanation of lagrange polynomials here ( mathworld.wolfram.com/LagrangeInterpolatingPolynomial.html ), but essentially were finding a polynomial of degree n-1. As we increase the number data points, were increasing the degree of the polynomial. I'm not a mathematician though, check the link for a more in depth explanation!

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What a guy! Thanks!

[@iktisadrashid9769]

This was very helpful.

[@AFMathandEngineering]

Iktisad Rashid great, thanks!

[@FriendlyFireNA]

Are you sure the final answer is correct? It seems too deep in the negative when you compare it to the original dataset.

[@anonb1150]

Thank you so much!

[@winnerfit8319]

omg thank you soo simple subscribed

[@AFMathandEngineering]

Awesome glad we could help!

[@alexaine4508]

What do you when you have a missing interval?

[@wabbagajonathan20010]

God bless you sir