The Proof - Why Does d/dx (x^n) = nx^(n-1) , Part 4

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  • Опубліковано 23 гру 2024

КОМЕНТАРІ • 73

  • @jimmyhaotran123
    @jimmyhaotran123 6 років тому +16

    The reason why you need to work out with simplifying the equation is so that you wont be dividing into zero, which is "illegal" but acceptable if you do it with limits and find a way to get rid of denominator by factorising it out first. Hope that helps

  • @hasanmahboobrahil
    @hasanmahboobrahil 2 роки тому +1

    excellent day realy we have after seeing this. very simple and effective way without any hustle to make people understand. I love your way of making us understand the facts behind formulae.

  • @miafan8782
    @miafan8782 11 років тому +11

    Math can always wow me!

  • @tzakl5556
    @tzakl5556 9 років тому +1

    for people who asked, h=change in x, because we you derivatives to measure a point, but how? Y/x=0/0???!!! Actually we use the formula f(x+change x)-f(x). While the f(x) is the slope of the point which you find by adding two points on both sides of the point you're working with. So there is no space actually, so afterwards after simplifying as much as possible, you have to actually shrink change of x to zero, or in other words Shrink h to zero, but you have to simplify as much as possible first. (I'm not the guy who made the video if you wonder) hope that helps

  • @harsha3095
    @harsha3095 3 роки тому +3

    OH MY GOD I LOUUUUUUUUUUU UUUUUUUUUUUUUUUUUUUUUUUUUU
    Our Physics teacher just gave us this formula and said the derivation was very complex and we could google it if we wanted, and I did and after AN HOUR finally found this masterpiece :)
    The derivation is still complex, but damn you did it well

    • @mukeshkushwahaeducation2270
      @mukeshkushwahaeducation2270 3 роки тому

      ua-cam.com/video/O2ihzpXj1YE/v-deo.html

    • @Anu55203
      @Anu55203 3 місяці тому

      That is precisely what is wrong with the education system in schools.

  • @omsushantkarki
    @omsushantkarki 9 років тому +4

    please tell me from where did the ' h ' came from?
    and how is d f(x)\dx = ( f(x+h)+f(x) )\h ???

    • @selcanuner6942
      @selcanuner6942 4 роки тому

      Lim x->a [f(x) -f(a)]\x-a is the definition of derivative of function f at point a. So from this definition if we write a+h instead of x and our new definition became like this: lim h->0 [f(a+h) -f(a)]\h

    • @selcanuner6942
      @selcanuner6942 4 роки тому

      And then put x instead of a :)

    • @krushichennoju4763
      @krushichennoju4763 4 роки тому

      First principle formula

  • @victoryutuedor4185
    @victoryutuedor4185 6 років тому +4

    thanks,i really do appreciate it.

  • @iOS4guy
    @iOS4guy 10 років тому +2

    You're the best! Thanks.

  • @salmanali-df6ic
    @salmanali-df6ic 4 роки тому +1

    sir where are you from

  • @pravatranjannayak8152
    @pravatranjannayak8152 3 роки тому +1

    Thank you sir it is very much helpful 😊

  • @harishreddykadapala5077
    @harishreddykadapala5077 6 років тому +1

    Firstly why you take limit is 0 and rhs function in right side why you take only that function

  • @haakonslettebmeyer5697
    @haakonslettebmeyer5697 2 роки тому +1

    Very helpful!

  • @azverndias913
    @azverndias913 4 роки тому +1

    you are amazing man!!!

  • @massimoajmonebasso
    @massimoajmonebasso 10 років тому +2

    Thanks man, appreciate it

  • @donzpicazo2934
    @donzpicazo2934 9 років тому +1

    why does my cal. book say n! for answer to same prob??

  • @joeverzino
    @joeverzino 8 років тому +1

    A little graph showing two tangent lines, one at x1 and one at x1+h.
    Let h be a little large so you show two distinct tangents one at x1 and one at x1+h. Hold x1 the tangent at x1 still
    and move the tangent at x1+h closer as h gets smaller.
    Pictorially keep shrinking h until the 2 tangent lines are almost equal to the tangent at x1.

  • @vaibhavchhaya9145
    @vaibhavchhaya9145 7 років тому +1

    Very nice explanation.
    Btw can you prove the chain rule using composition of two functions?

  • @fruityfan0154
    @fruityfan0154 2 роки тому

    Thanks a million for this explanation 💜

  • @testself4492
    @testself4492 6 років тому +1

    What will happen when n i s an irrational number????? Please answer me

    • @josueabisai5736
      @josueabisai5736 5 місяців тому

      any irrational number is a real number so this formula stills works lol

  • @dhruw9935
    @dhruw9935 3 роки тому +2

    Math is beautiful sometimes but other times its a nightmare

  • @randomstranger2579
    @randomstranger2579 2 роки тому

    Thanks this is great!

  • @joeverzino
    @joeverzino 8 років тому +2

    Hold the tangent at x1 still and move the tangent at x1+h slowly closer as h gets smaller.

  • @alonwolf7789
    @alonwolf7789 11 років тому +3

    Thank you very much!
    I hope you'll keep making videos, I learn a lot from them (:

  • @Gothmilker
    @Gothmilker Рік тому

    Can anyone tell me what is d/dx of x^(n^n)

  • @alanx9777
    @alanx9777 Рік тому +1

    Nice video.......👌

  • @rukkukhan107
    @rukkukhan107 5 років тому +2

    V.v.v. nice explaination

  • @obocchamakunobo
    @obocchamakunobo 2 роки тому

    Is there any other way in which I can prove this theorem without using the binomial theorem?

    • @ommchandravanshi2158
      @ommchandravanshi2158 8 місяців тому

      Bruv I studied whole binomial theorem just to prove this shit
      ... (Permutation and combination is also there..)

  • @a-2172
    @a-2172 Рік тому

    It really really helpful for us😢😢

  • @AKBARCLASSES
    @AKBARCLASSES 2 роки тому

    Thank you very much...

  • @SaniyaKhan-xs1wz
    @SaniyaKhan-xs1wz 3 роки тому

    Thank you so much sir... It really helpful

  • @pravinmaske807
    @pravinmaske807 11 років тому +2

    wow ! dude ..thnx alot ;) it ws vry helpful :D

  • @satisfyingcontent
    @satisfyingcontent 2 роки тому

    Nice 🙂 sir thanks for Help

  • @dev721
    @dev721 2 роки тому +1

    Very helpfull

  • @SirishaG-bn4sf
    @SirishaG-bn4sf 12 днів тому

    Thank you

  • @snowstarcyan5812
    @snowstarcyan5812 9 років тому +1

    thanks!

  • @goofydog07
    @goofydog07 10 років тому

    aweful-, terrib-, horrib-, -ly clear and well told. thanks

  • @Ams-sv5bf
    @Ams-sv5bf 4 роки тому

    Wow, it's very cool.

  • @michaelhelmy9077
    @michaelhelmy9077 8 років тому +1

    i dont get how (n/1)=n

    • @JTB312
      @JTB312 7 років тому +1

      Jo Ho dividing/multiplying by 1 gives you the same result, just like adding/subtracting 0 does.

    • @jimmyhaotran123
      @jimmyhaotran123 6 років тому

      basically you could think of it like combination: out of many numbers n of samples, lets say 10 people, how many combination(ways) to choose 1 person out of n or 10 person. that is basically 10 ways or n ways in his case. hope that helps. btw its not (n/1), cuz this means n divide by 1, which is also 1, but i dont think that was what you were looking for.

    • @sakhidadmohibi6657
      @sakhidadmohibi6657 6 років тому

      My6hh

    • @sakhidadmohibi6657
      @sakhidadmohibi6657 6 років тому

      Nours

  • @richardcommins4926
    @richardcommins4926 Рік тому +2

    This video is very amateurish and at best confusing. Draw a simple graph of a curve and place a dot at (x,y) where you want the derivative. Draw a tangent line from x and delta x. Now let delta x approach zero. Then we get the formula of the slope of the line as m = (y2-y1)/(x2-x1) or (F(x+dx) - F(x))/(dx) and take the limit as dx approaches zero. (no symbol for delta x) What is with this h that comes out of no where.

    • @Wonyoungyeji
      @Wonyoungyeji 8 місяців тому

      do you lack basic pattern recognition skills?

    • @Anu55203
      @Anu55203 3 місяці тому

      Simply put, h is the infinitesmal amount by which x has changed. You can write it d(x) too.

    • @richardcommins4926
      @richardcommins4926 3 місяці тому

      @@Anu55203 Of course h is the infinitesimal amount call D(x). Why not just call it D(x) and be done with it?

  • @Krishna108ji
    @Krishna108ji 4 роки тому

    Good

  • @mohammedsamir438
    @mohammedsamir438 3 роки тому

    👏👏👏👏

  • @ankitasur4560
    @ankitasur4560 4 роки тому +1

    English samajh Nahi aati Bhai saahab 😁

  • @voomchemistry1663
    @voomchemistry1663 4 роки тому

    H can't cancel wrong explaination I reported you