Calculus - What is dy/dx ? | Differentiation and overview

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  • Опубліковано 29 вер 2024
  • Here I introduce differentiation, dy/dx as used in calculus. See the playlist on differentiation at • Differentiation (1)
    Related topics:
    INDICES • Algebra and Functions (1)
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КОМЕНТАРІ • 59

  • @EE-Spectrum
    @EE-Spectrum 5 років тому +55

    This is an excellent explanation of dy/dx. It's the best l have seen.

  • @madelyncespedes
    @madelyncespedes 4 роки тому +21

    I had been trying to understand a problem for my calculus class for like 3 hours, this video got me through in only 16 minutes. Thank you so much.

  • @nazuu
    @nazuu 4 роки тому +1

    ty brother !

  • @Trendnet18
    @Trendnet18 2 роки тому

    is this from NUS course MA1301 ?

  • @elnurabekturganova1336
    @elnurabekturganova1336 3 роки тому

    don't say that I'm the only one trying to revise for IGCSEs and got no idea what dy dx was

  • @saxzphone
    @saxzphone 5 років тому +14

    Thanks very much Stuart for all your hard work creating these videos over the years. These videos are a fantastic resource for people like me, you used to be amazing at math and lost it after leaving school. But with issues with BTEC Nationals, which math is not well covered even in Engineering and IT. This can cause problems for students wanting to go to University just with a BTEC National alone. Though thanks to you, I can go back to the basics when I come to problem in Discrete Mathematics in University. Without annoying the professor about a simple problem I cannot understand.

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  5 років тому +6

      Thank you for those kind words. Best wishes to you for a fantastic future.

  • @mariehill6547
    @mariehill6547 5 років тому +17

    Thank you! This really helps to further my understanding!

  • @abdullahashfaq6424
    @abdullahashfaq6424 3 роки тому +6

    THANK YOU SO MUCH! I've recently studied differentiation at school but had no idea what it was all about... I knew the techniques but didn't know what I was doing.. This video cleared everything out... Now I know what it means! Thank you! Been following you since a while now and your videos are Life savers! Thinking of leaving college now and solely following you to for A'level xD

  • @aaisharahman9883
    @aaisharahman9883 4 роки тому +17

    thinking of doing a-level maths and the textbooks ive bought arent as helpful as these vids- thank you!

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  4 роки тому +6

      Thanks for that but I am sure a text book can provide more examples for you than I can which is essential to gaining confidence in maths.

  • @udayjeetsingh2467
    @udayjeetsingh2467 3 роки тому +2

    Is the playlist helpful and is it in series where everything is going step by step? I need to learn this topic asap soo please someone tell me

  • @bhavanikitchen7833
    @bhavanikitchen7833 4 роки тому +2

    thank you so much

  • @jagadeeshjax7162
    @jagadeeshjax7162 4 роки тому +2

    This is THE BEST

  • @moazamdurrani6732
    @moazamdurrani6732 3 роки тому +1

    You made it look easy but I don’t know why I can’t solve fractions on my own.

  • @TheDentistryDiary
    @TheDentistryDiary 5 років тому +5

    great video keep them coming please

  • @malcolmmahwire3743
    @malcolmmahwire3743 4 роки тому +5

    So I spent the whole day trying to understand this just to come here and understand in 16 mins. Smh...thank you so much dude you’re a life saver. You make math easy 🤩

  • @JoeCharlotte
    @JoeCharlotte 27 днів тому

    Lee Frank Lewis Timothy Davis Scott

  • @keiran5333
    @keiran5333 4 роки тому +2

    this video is such a big help will be honest
    Thanks for helping me go through my a levels because these videos are making things so much easier

  • @laonetlou1216
    @laonetlou1216 3 роки тому

    Has any body noticed that this guy sound like Apple

  • @zForce4
    @zForce4 5 років тому +7

    You made my 14 years old self understand something ! I’m hoping to understand calculus by the end of the year !

  • @destinybrowne8446
    @destinybrowne8446 Рік тому

    At 2:02 can you explain how you expand y

  • @itwork6810
    @itwork6810 3 роки тому

    DYDX token went live today

  • @yonelazake4318
    @yonelazake4318 3 роки тому +1

    Excellent explanations, thank you !

  • @IrfanSheikhNagpur
    @IrfanSheikhNagpur 2 роки тому +1

    Appreciate your hard work! So nicely explained. Keep up the good work.

  • @syedjazibhasan630
    @syedjazibhasan630 5 років тому +1

    Is there any proof of the form dy/dx=anx^n-1 ????

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  5 років тому

      I have only produced a video on differentiation from first principles. I don't think this is what you had in mind though but your welcome to look at it here. ua-cam.com/video/Ayf9gKwjXlY/v-deo.html

  • @patriciai6984
    @patriciai6984 4 роки тому +2

    8:22 how did you figure out that would be the volume

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  4 роки тому +11

      The surface area = 2x^2 + 3xy = 54 (two ends + 2 sides + base area)
      Make y the subject so y= (54 - 2x^2) / 3x
      Now the volume =y x^2
      Sub in y
      so volume = x^2 [ (54 - 2x^2) / 3x ]
      to give 18x - 2 x^3 / 3.
      I hope that helps?

    • @patriciai6984
      @patriciai6984 4 роки тому +2

      ExamSolutions thank you that makes sense

  • @lsipahelut
    @lsipahelut Рік тому

    Awesome.

  • @jawadhindi646
    @jawadhindi646 Рік тому

    Thank you

  • @dragonheadoftheuniversal73
    @dragonheadoftheuniversal73 3 роки тому

    super

  • @Will_M600
    @Will_M600 3 роки тому

    i was very out of touch with my maths and this has helped me a great deal so thank you.

  • @fleetinggreen8565
    @fleetinggreen8565 5 років тому +1

    Where are you I need the vid grind smh

  • @arnavbista5710
    @arnavbista5710 4 роки тому +1

    i've been enlightened

  • @alahlyhayatna5757
    @alahlyhayatna5757 5 років тому +1

    Good

  • @gracespeakman3699
    @gracespeakman3699 4 роки тому

    Hi there, trying to embed your video into a private learning resource but its not allowing me? I've been able to for some of your other videos - would it be okay for you to format the video so I would be able to do this? Thanks

  • @petrockspiracy3120
    @petrockspiracy3120 4 роки тому

    9:08 I don't understand this. This method doesn't seem to work for the last graph you showed. On that one it gives x = -3
    How do you know that's the only stationary point on the graph and the one you want?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  3 роки тому

      x= 3 is not the only stationary point. However, in the example of the cuboid, we found that x = 3 is the only stationary point which gives us the maximum volume (a positive number)

  • @nataliecherono645
    @nataliecherono645 3 роки тому

    thankyou soo much your an absolute life saver

  • @nathansoles4581
    @nathansoles4581 5 років тому

    Hi Stuart, could you let me know which software you utilise to create the graphics for your tutorials please?

  • @ronnexjimu7062
    @ronnexjimu7062 3 роки тому

    Thats great need the next presentation please

  • @legends-og5dx
    @legends-og5dx 4 роки тому

    Find dy by DX if y=e root cot x

  • @hrperformance
    @hrperformance 3 роки тому

    great video. thanks

  • @mingyangli1190
    @mingyangli1190 3 роки тому

    Thank you sooooo much!

  • @nawafaleid196
    @nawafaleid196 4 роки тому +1

    Thank you

  • @Wu-Li
    @Wu-Li 3 роки тому

    Thank you.

  • @prabhashankar34
    @prabhashankar34 4 роки тому

    amazing

  • @nathansoles4581
    @nathansoles4581 5 років тому

    Hi Stuart, what software do you use to produce the graphics for your tutorials?