❖ Newton's Method ❖

Newton's Method - Finding Roots with Approximation
In this video, I discuss the fundamental concept of Newton's Method, a technique to approximate the roots of a function. You’ll learn how to apply this iterative approach to find x-intercepts effectively. I'll go through an example step-by-step to show you how to utilize Newton's Method to get closer to the actual root with each iteration.

What You Will Learn:

The formula for Newton's Method and its geometric interpretation
Step-by-step example of applying Newton’s Method to find a root
Understanding how this method can help approximate solutions to functions that are difficult to solve algebraically

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[zachblanc]

Gotta love when youtube videos explain calc better than your college professor.

[darkflyes]

I'm the kind of guy who relies heavily on step by step examples and equations while doing my work. The video was really helpful, I hope you make many more like this. Thanks a lot!

[sebastiancurry]

you save engineering students lol. I have time to hit the gym and pursue my passion for bodybuilding because I can watch your videos instead of reading through the textbook for hours lol. Gotta love YouTube. Obviously youtube cant always grasp the level of difficulty of practice problems they give you engineering cause they make it alot harder, its still extremely helpful to understand the concept as quickly as possible instead of using a textbook lmaoo, then from there you can just practice harder problems of the same concept.

[KryatLore]

Great explanation! You made me understand in 7:30 minutes what my teacher couldn't in 2 classes 1:40 hours each!

Thanks a lot!

[CameronS]

Throwback to the days when there was a time limit to these videos

[RedRogue]

Oh thank god.
I've been studying for my calculus final (which is tomorrow) and Newton's Method is the only thing I've been having trouble understanding.

"What is this? Why am I using this?? WHAT DOES THIS MEAN!?!"
Yeah my textbook's not very good, and the teacher didn't really go over it well. Seriously though, you're a life saver.

[bryant]

Some night-before Calculus final cramming :)

[patrickjmt]

glad you like it! i just added this one yesterdaY!

[siddharthsingh]

"This is not the end of the world"
Wise words.

[joakimt]

You are amazing at explaining maths in a pedagogical way! Thank you so much for your work! The textbook that I use explained this disastrously! 

[svenn]

Thank you! Both the Calculus textbook and my math teacher failed to explain this so that i could understand it, and you did it in about 60 seconds!

[iamtheCarterP]

You could also put in your initial x value then hit STO>X. So the initial value was 3, you hit 3 STO> X then u type the function in your calculator x - (x^7-1000)/(7x^6) then at the end of that function you do STO>X, so what will be in your calculator will be x- (x^7-1000)/(7x^6)STO>X. Every time you hit the = it will take that value and make it X. Just keep hitting = until your answer is within the error limit given.

[ezrarebollar]

3rd year math major here just love you to death been using your videos since i was a freshman and never dissapointed in your variety of subjects or skill in teaching.

[jktm]

You are a real lifesaver for people with professors that can't teach

[quinnjones]

From the four Newton's Method videos I just watched yours is the best by far. The visualization at the beginning was very helpful. Your video even beat The Organic Chemistry Teacher's video!

[SeriousPony]

Had to quickly remember Numerical Analysis material despite being out of practice for almost 5 years. Very clear explanations and examples! God bless!

[jona]

Great job, my professor forgot to go over this for an exam i have tomorrow. You just saved me :D

[stevenf]

1 minute in and I already got the concept faster than what took my prof an hour to explain

[catalindeluxus]

A BIG thank you from 2020! You explained Newton's method clearly and concisely, despite English not being my first language! Hope I do well on my midterm tomorrow!

[Gchwow]

I had no idea what was going on when this was discussed in class but after the first 90 seconds I think I really get it now. Thanks!