Тёмный

03 - Product Rule of Differentiation in Calculus, Part 1 

Math and Science
Подписаться 1,4 млн
Просмотров 36 тыс.
50% 1

Опубликовано:

 

10 сен 2024

Поделиться:

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист
Посмотреть позже
Комментарии : 34   
@jacobdworatschek2065
@jacobdworatschek2065 3 года назад
Wow! I am in grade 8 learning this right now and I'm blown away. Really interesting lesson.
@bis9817
@bis9817 2 года назад
calculus in 8th grade? damn
@grandboi062
@grandboi062 2 года назад
do u know what, I love you so much man. this is the type of teaching that I was looking for, explaning one by one, low key, man I love you so much thanks a lot I wish u had more of these classes becaise I can see on the list the rest of those are just 4 mins classes. but anyways perfect way of teaching very clear. thanks a lot
@aram5642
@aram5642 6 месяцев назад
I always remember it in a similar order to the quotient rule's numerator, because then I won't screw up. For product, the order of addition doesn't matter. So my way is: f'(x)g(x) f(x)g'(x).
@waterbuffalo4225
@waterbuffalo4225 9 месяцев назад
You are a much better explainer of things than Feynman
@user-nf2ug3bd5w
@user-nf2ug3bd5w 2 месяца назад
I’m in year 8 and this is really interesting
@barnabasbol6441
@barnabasbol6441 2 года назад
this is a very interesting mathematical tutorial
@sbambery1113
@sbambery1113 2 года назад
Some people may be in 8th and 9th grade struggling with this but I am in 5th and now that I have done a couple of these and rewatched the video I am really good at it and I have no problem with it obvious I learned this by myself and there isn’t calculus homework in 5th grade but I just wanna learn it now so then I have no problem with it later
@ihateyou4602
@ihateyou4602 3 года назад
Thank you
@AbdoZaInsert
@AbdoZaInsert 2 года назад
i hate you Thank you
@adaezeonwuasoanya2070
@adaezeonwuasoanya2070 Год назад
In the last problem, towards the last step; why is it that you added only x's with similar exponents? That's where I got it wrong, you know, I simplified it altogether because I assumed the x as a base. Isn't that the way it should be?
@phil97n
@phil97n Год назад
Wonderful thank you
@djtonict6629
@djtonict6629 2 года назад
Thank u♥️🙏
@ChristopherShabi-tf8oq
@ChristopherShabi-tf8oq 28 дней назад
❤❤❤❤❤❤❤❤❤
@FROSKYX
@FROSKYX 2 года назад
13:42 Can i just type (3x+1)`(2x²+5x)+(3x+1)(2x²+5x)` This would be the same thing i think? but with more simple and easier to memorize (like it's just take all of it and add it to it self but the first time the first () is prime and second time the second () is prime) ??
@eccentricaste3232
@eccentricaste3232 Год назад
Some calc books write it in a reverse order but it's exactly the same.
@gucciashton4731
@gucciashton4731 2 года назад
I wish I understood step 4 of the last problem. -x^-2 + -2x^-2 = -x^-2. I get -2x^-2. I don't follow where the -2 went in your solution. Been trying figure it out.
@lena4431
@lena4431 Год назад
If you look at the the entire thing, you just have to simplify (x^-2+x^-3) +(-2^-2+x^-3) You can rewrite it to match the powers for example (x^-2 - 2x^-2) + (x^-3 + x^-3) For (x^-2 - 2x^-2) you will get -x^-2 since x-2x = -1x then for (x^-3 + x^-3) you will get 2x^-3 since x+x = 2x and then you just rewrite as -x^-2+2x^-3 which is what he got If that helps
@eccentricaste3232
@eccentricaste3232 Год назад
@@lena4431 Spot on.
@eccentricaste3232
@eccentricaste3232 Год назад
1-2=-1. -1x is -x.
@j.khepri.8682
@j.khepri.8682 Год назад
Great lesson Thanks. Please at 19:38 is it 4Y or 4y^2? how does the ^2 appear?
@lena4431
@lena4431 Год назад
If you look at the top row, he foiled it, where he multiplied 2y * 2y and when you multiply it becomes 4y^2 so that's where the 2 came from.
@georgecarvanitis8016
@georgecarvanitis8016 4 года назад
There's no meaning to taking a derivative of derivitives.
@MathAndScience
@MathAndScience 4 года назад
George C Arvanitis Sure there is. If your initial function is a position function, then it’s derivative is the velocity. The derivative of THAT is called the acceleration. So it definitely has physical meaning.
@georgecarvanitis8016
@georgecarvanitis8016 4 года назад
@@MathAndScience silliness
@MathAndScience
@MathAndScience 4 года назад
You can of course believe what you like, but it doesn’t mean you are correct. We have sent space probes to every planet in this solar system. I think we have a good handle on how calculus works for bodies in motion.
@major_kukri2430
@major_kukri2430 3 года назад
I'm guessing you've never heard of acceleration. Because it's the derivative of velocity, which is itself, the derivative of distance/displacement.
@lightworker4512
@lightworker4512 3 года назад
@@georgecarvanitis8016 I know you don’t work at NASA! LOL
Далее
iPhone 16 - презентация Apple 2024
01:00
Просмотров 55 тыс.
Master the Chain Rule in Calculus
28:06
Просмотров 5 тыс.
Basic Differentiation Rules For Derivatives
20:44
Просмотров 1,3 млн
The Chain Rule for Derivatives in Calculus - [1-5]
28:30
The essence of calculus
17:05
Просмотров 9 млн
Implicit Differentiation
11:45
Просмотров 1,1 млн
Math Teacher Shows TOP 10 MISTAKES students make
18:43
Просмотров 636 тыс.
The Chain Rule... How? When? (NancyPi)
16:36
Просмотров 1,7 млн