Differentiation
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- Опубликовано: 30 июл 2024
- Differentiation is one of the pillars of calculus. In this video we do a deep dive into what differentiation actually is and learn how to find the derivative of polynomials (x^n). Learn what dy/dx actually means and become a master of differentiation
Problem Sheet: mathacy.com/videos/differenti...
Website: mathacy.com
Timestamps:
0:00 - Intro
0:32 Defining the straight line
1:07 Defining the gradient
2:41 Gradient of a curve
6:04 Limits
7:21 Function notation
8:03 Differentiation by first principles
10:01 Derivative of x^2
11:32 Derivative of x^n
13:33 The rule of differentiation
13:46 Examples
15:56 Harder examples
17:37 Next in the series
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I am surprised how you have so less subscribers, your way of teaching is so intuitive and easy to understand... Hope the algorithm finds you mate 😃
Great video! Appreciated the use of first principles to explain differentiation
I was struggling with a level maths as well 😂thanks for this
This is the best explanatory video on the subject yet. I'll have to save this one.
this is the only video that explains so concisely in a way i can understand, awesome video. every other explanation regarding this topic explains like they're recapping it but you actually EXPLAIN it
This! This right here is an amazing video explaining differentiation. The best one in my opinion. Thank you so much for this. I finally understand!
This is the best video on RUclips rn ! Great video man ! Keep it up
Thank you Sir. I am impressed. I am trying to learn math on my own time. This has been one of the best videos. Thank you very much, Sir.
Great video! Thank you much, I've been struggling with Differentiation!
that was really well explained! thanks for the video :)
Amazing video! Thanks so much for posting! 😃 Finally understand why you bring down the power and minus one from the power 😅
Really amazing and really helpful thank you so much 😊
Great video, looking forward to more
your videos are gold! i think i found a new favorite math channel
This is awesome! Really appreciate this insight
This is a great series!
Really helpful video
Absolutely awesome 👍🏼
Thanks for the content!
This is very well explained!
Awesome video thank you
amazing explanation!!
Awesome, thank you!
I am so glad I found you!
wow , I asked what is derivative to every teachers , their explanations is not worthy . But this 20 Minutes make me under stand what is this . THANK YOU
Excellent !!
I really like your voice as well 😘
Amazing
you deserve more subscribers.
Thanks a lot
Thanks
I love Gottfried Liebnitz. His guitar playing for Queen was amazing...
very good
BEST OF BEST
Amazing video! Was so helpful to learn it from first principle 🔥
Great
Mantap lah
7:02 wouldnt the visualization for this be the purple point going in a straight line towards the green point?
what software did you use for explanations ?
Thats calculus basics in 18. 23 seconds 👍😍
Great video. However, may I ask this, where is the h2 go in the equation (2xh + h2)/h as it turns to be 2x + h.. thank to anyone who can explain.
You’ve probably figured it by now, but you can factorize the h in 2xh+h^2, making it h(2x+h)/h , then you can cancel the h resulting in 2x+h
@@flybug1238WHAT IS THE SUN has to exist in SPACE AND TIME. Think. (Consider what is outer “space” ON BALANCE.) Great. The stars AND PLANETS are POINTS in the night sky !! Consider what is THE EYE ON BALANCE !! Consider TIME AND time dilation ON BALANCE. This proves the fourth dimension, AND this solves the coronal heating “problem”. Great.
Regarding WHAT IS E=MC2, c squared CLEARLY AND NECESSARILY represents a dimension of SPACE ON BALANCE; AS ELECTROMAGNETISM/energy is CLEARLY AND NECESSARILY proven to be gravity (ON/IN BALANCE). Great.
TIME is NECESSARILY possible/potential AND actual ON/IN BALANCE, AS ELECTROMAGNETISM/energy is CLEARLY AND NECESSARILY proven to be gravity (ON/IN BALANCE). Great.
What is gravity is, ON BALANCE, an INTERACTION that cannot be shielded or blocked. Consider what is THE EYE ON BALANCE. Consider TIME AND time dilation ON BALANCE, AS c squared CLEARLY (AND NECESSARILY) represents a dimension of SPACE ON BALANCE. Notice what is the associated black “space” of WHAT IS THE EYE ON BALANCE !!!! A given PLANET (including WHAT IS THE EARTH) sweeps out equal area in equal TIME. ON BALANCE, I have CLEARLY proven and explained what is the fourth dimension. TIME is NECESSARILY possible/potential AND actual ON/IN BALANCE, AS ELECTROMAGNETISM/energy is CLEARLY AND NECESSARILY proven to be gravity (ON/IN BALANCE); AS the rotation of WHAT IS THE MOON matches the revolution !!!!!! Magnificent.
The curvature or shape of WHAT IS THE MOON DOES matches that of what is THE EARTH/ground. The maria DO occupy ONE THIRD of the near side of WHAT IS THE MOON. THE DENSITY OF water to lava IS ONE THIRD. NOTICE THE ORANGE SUN AND THE TRANSLUCENT AND BLUE SKY ON BALANCE !! I'M A GENIUS. I HAVE TRULY REVOLUTIONIZED PHYSICS.
ONE HALF MULTIPLIED TIMES ONE THIRD IS ONE SIXTH !!!! ONE QUARTER TIMES TWO THIRDS IS ONE SIXTH. Great.
ONE HALF MULTIPLIED TIMES ONE HALF IS ONE QUARTER. Accordingly, ON BALANCE, the bulk density of WHAT IS THE SUN IS ONE QUARTER in what then constitutes DIRECT comparison WITH WHAT IS THE EARTH. Notice what is the fully illuminated AND setting/WHITE MOON ON BALANCE. It IS the SAME SIZE as WHAT IS THE EYE ON BALANCE. MAGNIFICENT.
THEREFORE, ON BALANCE, the LAND surface area of WHAT IS THE EARTH IS EXACTLY BETWEEN ONE THIRD AND ONE QUARTER. ABSOLUTELY MAGNIFICENT.
ACCORDINGLY, ON BALANCE, the crust of WHAT IS THE MOON IS TWICE AS thick in what constitutes DIRECT comparison WITH that of what is the near side. (Think LAVA.) Consider what is the ORANGE SUN. Great. It IS the same size as WHAT IS THE EYE. NOTICE, ON BALANCE, what is the TRANSLUCENT AND BLUE sky, AS WHAT IS THE EARTH IS ALSO BLUE. ABSOLUTELY MAGNIFICENT. Note: The bulk density of WHAT IS THE MOON IS comparable to that of what are (volcanic) basaltic LAVAs ON THE EARTH. The diameter of WHAT IS the Moon IS about ONE QUARTER of that of what is THE EARTH.
I have surpassed Newton and Einstein.
By Frank Martin DiMeglio
Why are lim x+h tends to x same as lim h tends to 0 same?
You a goo’uh guy
5:15
6:24
11:33
👍👍👍🖐🖐🖐
Delta y and dy is different.......
Delta x and dx remain same....
When limit is taken then delta y becomes equal to dy
dy&dx is geometric notation [nomenclature (name)]
..........delta y /delta x is secant slope not tangent slope
Secant slope becomes equal to tangent slope when delta x approaches zero using limit technic....dy/dx is ratio like factor.it is not dy÷dx.but operation of this notation does not make difference.Each and everytime we convert average rate of change to instantaneous rate of change using limit technic 😊🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳
I discovered this channel today and I like it's video but I just realised that it's already dead.
Why is he saying "haitch" for "h"👎? It's "aitch"
why lying about history..the concept is from INDIA .. ARYABATTHA BASKARACHARYA MANJULA BRAHMAGUPTA MADHAVA..
No one's lying about history and Newton and Leibniz were the ones who invented Calculus even though there were brilliant discoveries from India. Why does it even matter. The video is about differentiation, not the history of Calculus
Underrated video
research found that lebnitz stealed madhvacharya series and named it lebnitz theorem.
it is quite possible that differentiation may has been stealed from ancient indian textbooks.
so we know that Newton laws are already mentioned in the ancient textbook of India.
What should we conclude then?