Calculus - The product rule for derivatives

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  • เผยแพร่เมื่อ 29 ม.ค. 2025

ความคิดเห็น • 143

  • @Fernwald84
    @Fernwald84 6 ปีที่แล้ว +49

    This program (and the associated comments below) clearly demonstrate that most people have problems with math due to bad teaching. Here the presentation is clean, orderly, divided into just the right "chunks" and, to top it off, delivered in a pleasing voice. Great job!

    • @jeraldgarner1636
      @jeraldgarner1636 4 หลายเดือนก่อน

      Feernwald84, well said. You are on point!

  • @Ureyeuh
    @Ureyeuh 7 ปีที่แล้ว +173

    How can I spend 3-4 hours in lectures and be clueless, then turn around and spend 1 hour on this channel and know everything I didn't understand in the lectures?? Sometimes I feel like I'm wasting my money and that these channels should profit.

    • @omg5864
      @omg5864 6 ปีที่แล้ว +3

      Ikr. I'm currently in high school taking bc calc so I don't have the same struggle as you with feeling like I'm wasting my money, but I can relate to what you're saying though. I never learned this in a classroom because... well school hasn't started quite yet for me. I watched all his vids on derivatives and parametric equations and now I feel like I could teach them to another student because he just does it that well.

    • @lechatduverger7154
      @lechatduverger7154 6 ปีที่แล้ว +10

      Bro I quit going to class because I can't understand shit, but as soon as I come here everything is much more easier to understand

    • @nelsonsema6777
      @nelsonsema6777 6 ปีที่แล้ว +2

      The understanding of any concept depends largely on the instructor and how you relate personally with the teacher.

    • @jamialong8142
      @jamialong8142 5 ปีที่แล้ว

      SAME! Ive been confused a whole semester watch a few of these and im good lol

    • @DomainAspect
      @DomainAspect 5 ปีที่แล้ว +2

      Everyone here is possessing disillusion

  • @g7DT304UB9e
    @g7DT304UB9e 2 ปีที่แล้ว +1

    i literally pay a thousand dollars to my university and still not understand a thing... but i do get it in a 10 minute video?? you sir are the best, you helped me a lot!

  • @Tor7822
    @Tor7822 5 วันที่ผ่านมา

    I was in tears over here, thinking I was stupid. Your content made me realize that just because you are good at math DOES NOT qualify you to teach math. I'm so very grateful. Thank you, thank you 100 times over.

  • @omg5864
    @omg5864 6 ปีที่แล้ว +2

    You make everything so easy to understand. I am going into my first calculus course and thought I would be struggling a ton, but if I just make sure to come and learn stuff from your vids while studying everything seems like it will be a breeze.

  • @bwater688
    @bwater688 3 ปีที่แล้ว +4

    This video was extremely helpful, thanks! I have an exam tomorrow and I feel a lot more confident about it now

  • @richardjames9406
    @richardjames9406 6 ปีที่แล้ว +1

    This guy is really good in explaining. I now believe I can manage to pass my calculus test. Thanks much.

  • @Sjb2077
    @Sjb2077 5 ปีที่แล้ว +3

    So clearly explained. No fuss, just , this is how you do it. Thank you for saying it clearly. I have no doubt that in the future we shall come to understand what finding a derivative means in the real world and why it is used but I shall be prepared for that when the time comes. Again a big thank you.

  • @reggidemechko9930
    @reggidemechko9930 2 ปีที่แล้ว

    I can't thank you enough. This whole semester I was so confused and as soon as I found your videos I aced my test. You are an amazing teacher!

    • @MySecretMathTutor
      @MySecretMathTutor  2 ปีที่แล้ว

      Glad I could help! Keep up the good work. :^D

  • @SilentChirps
    @SilentChirps 4 ปีที่แล้ว +1

    Thank you so much! I have my first calculus exam this upcoming Wednesday and you made it so simple!

  • @alexachance3979
    @alexachance3979 5 ปีที่แล้ว +2

    Thanks to your videos I could finally understand 18 hours worth of lectures. My only problem is that I get flustered when I see square roots and fractions. Help me overcome this hahahaha thank you again!

  • @withtheruths
    @withtheruths 5 ปีที่แล้ว

    Wow I wish I would have found your channel before my first calculus exam (which the entire class bombed the professor curved it by 50 points). Thank you so much for making these videos you are saving me rn!!

    • @MySecretMathTutor
      @MySecretMathTutor  5 ปีที่แล้ว

      That is one crazy curve! Hope the next one goes a bit better. With some hard work I know you can do it. :^D

  • @Mahdul
    @Mahdul 7 ปีที่แล้ว +2

    I m truly grateful to you for your derivative lessons....
    stay blessed.

  • @aritroc3368
    @aritroc3368 5 ปีที่แล้ว +3

    Thanks. Really helpful for 6th graders like me who can actually relate to it, unlike college lectures.

  • @CarlosQuarterman
    @CarlosQuarterman 7 ปีที่แล้ว +8

    Now I got a better understanding of Product Rule instead of using the textbook.

  • @oneiraxd3098
    @oneiraxd3098 6 ปีที่แล้ว +32

    My tuition fees should go to you instead

  • @saideepps2920
    @saideepps2920 6 ปีที่แล้ว

    You are the best teacher ever, I liked your video and subscribed too, keep up the good work

  • @ajaygupta-nf2bu
    @ajaygupta-nf2bu 8 ปีที่แล้ว +2

    This one is too easy that any not being good at maths can also get it well.thsnks

  • @danielamanna7381
    @danielamanna7381 6 ปีที่แล้ว

    i enjoy maths whenever i watch dis guy.....kudos mhen

  • @DylanGuillemette
    @DylanGuillemette 10 ปีที่แล้ว +4

    Great video man 😃 I like the positive vibe!
    Thanks for the help.

  • @agil-j4n
    @agil-j4n 6 ปีที่แล้ว +38

    I got kinda pissed when you didnt finish the second question

    • @igenboi5277
      @igenboi5277 6 ปีที่แล้ว +2

      For real, do you know the answer by any chance

    • @ramireztradez3977
      @ramireztradez3977 4 ปีที่แล้ว +2

      bruh my professors be pulling the same thing and expect us to know what to do in exams

    • @PlasticBubbleCosplay
      @PlasticBubbleCosplay 3 ปีที่แล้ว

      I kept waiting for him to take care of that radical in the denominator -- 1/(2*sqrt(x)) multiply by sqrt(x)/sqrt(x) yielding sqrt(x)/2x -- plug that in much more easily than that first form ;-)

  • @guloguloguy
    @guloguloguy 5 ปีที่แล้ว +7

    WOW!!!!! THANK YOU, VERY MUCH, FOR MAKING THIS SO COMPREHENSIBLE!!!! I'M EAGER TO KEEP GOING!!!! THIS IS GREAT!!!! NOW, ...WHERE CAN WE "APPLY" THIS KIND OF MATH???!!!

  • @venkatareddy4641
    @venkatareddy4641 4 ปีที่แล้ว +1

    I am impressed by seeing your video i everything about calculus now thanks a lot

  • @mubarakusman4634
    @mubarakusman4634 6 ปีที่แล้ว

    Waooooo!!!!!!! This is great,i had fed my brain with something unique today,thanks to myschoolsecret educator.

  • @PAVANKUMAR-yi4fw
    @PAVANKUMAR-yi4fw 8 ปีที่แล้ว +30

    I'm actually understanding maths now . xD

  • @Fleathemighty
    @Fleathemighty 6 ปีที่แล้ว

    learn math with this one simple channel ! teachers hate him

  • @sangitasorty130
    @sangitasorty130 2 ปีที่แล้ว

    Wow...you explained it like a magic...thank you sir!!! :)

  • @randomperson5579
    @randomperson5579 4 ปีที่แล้ว

    This is my introduction to this stuff, and it seems pretty straight forward, I was expecting some crazy 26 dimensional physics.

  • @brajendrapandey4931
    @brajendrapandey4931 4 ปีที่แล้ว +1

    What is Antiderivative?
    And, what is the derivative of Sine, Cosine, Tangent, Cotangent, Cosecant, Secant, and whatever?
    (Best channel ever for ...)

    • @MySecretMathTutor
      @MySecretMathTutor  4 ปีที่แล้ว

      You can often "think backwards" to get these.
      For example the derivative of what would give us sin ?
      That would have to be - cos.
      So we can say that the anti-derivative of sine is negative cosine. :^D

  • @knsubramanian9837
    @knsubramanian9837 5 ปีที่แล้ว +2

    Calculus is no longer the bugbear or Mumbo jumbo to me !.For the first time in 60 years I understood it by this video!.Ta!.

  • @drubergman339
    @drubergman339 5 ปีที่แล้ว +1

    I love learning about calculus

  • @dilo9897
    @dilo9897 5 ปีที่แล้ว +1

    this man is a legend

  • @leslymendez1256
    @leslymendez1256 9 ปีที่แล้ว

    You are the best tutor ever!!! Many thanks! =D

  • @johnngala2536
    @johnngala2536 10 หลายเดือนก่อน

    you re an excellent Tutor

  • @jackiemouse3993
    @jackiemouse3993 6 ปีที่แล้ว +1

    I’m a sophomore and I’m just getting an idea of Calculus and omg I understand this so much now I thought it was going to be complicated damnnnn

  • @itsdiva1742
    @itsdiva1742 4 ปีที่แล้ว

    thanks sir for your lovely explanation!!!!so easy to understand.

  • @justinkerry7389
    @justinkerry7389 4 ปีที่แล้ว +1

    Greetings and thank you for all of the great help. Just wondering (around 5:20) why it is d/dx(x) to the exponent of 1/2? I know that the x is originally under a square root, but I'm not sure why that leads to the power of 1/2.
    Thanks in advance!

    • @kailj1796
      @kailj1796 2 ปีที่แล้ว

      A square root is basically a 2 in the b part of the rational function but it’s never acc shown so it would be 1/2

    • @billionthcord
      @billionthcord 2 ปีที่แล้ว

      The way it works the square root splits everything in half (except for prime numbers). Figuratively speaking, 1 can be cut in half, but in higher math we stick to reality. Although mathematics doesn’t stop. Meaning we imagine the possibilities, not just reality. That is the power of assumption. For that assumption capacity is the source of our mathematics. As you go beyond this point; mathematics becomes a theory. Although this is my theory.

  • @UnderscoreOwens
    @UnderscoreOwens 5 ปีที่แล้ว +2

    You're a god send brother :)

  • @aram5642
    @aram5642 2 ปีที่แล้ว

    True, the order does not matter in this case, but since the quotient rule (where the order does matter) has f'g as the first term in the numerator, it is best to always start with f'g. Then you'll never run into doubt.

  • @sudhasureshkumar6035
    @sudhasureshkumar6035 5 ปีที่แล้ว

    Thank you sir for the detailed explanation.great sir🤩

  • @Glambert92
    @Glambert92 8 ปีที่แล้ว +1

    Beautiful explanation. Needed it for PCAT studying and this helped me rememeber stuff that I have taken a while ago thank you so much.

  • @Cosmalano
    @Cosmalano 10 ปีที่แล้ว +5

    Hey man, AWESOME video, super helpful. But how do you simplify the expression at 7:14?

    • @Cosmalano
      @Cosmalano 10 ปีที่แล้ว

      Where does the (x^3+2x^2) go?

    • @jhelo6513
      @jhelo6513 6 ปีที่แล้ว

      @@Cosmalano highest to lowest variables

    • @Cosmalano
      @Cosmalano 6 ปีที่แล้ว

      Jhelo Mae Betarmos haha thanks, I haven’t seen this video in ages! I’m doing graduate school mathematics now, hard to believe I still didn’t know the product rule four years ago!!

  • @honeyroseesparagoza1432
    @honeyroseesparagoza1432 6 ปีที่แล้ว

    Gosh ! Looks like I'll love calculus because of you ❤ .. lol
    Thank you so much I understand more. 😄

  • @okitsme47
    @okitsme47 4 ปีที่แล้ว +1

    can you share with us how to simplify the equation, please

  • @faithcorona5604
    @faithcorona5604 8 ปีที่แล้ว +2

    thankyou!!!! NEEDED SOME EXPLANATION LIKE THIS

  • @shahadatbashar4509
    @shahadatbashar4509 8 ปีที่แล้ว

    what an explanation! Salute....

  • @khuongho4144
    @khuongho4144 7 ปีที่แล้ว

    Very straight forward. Thank you!

  • @Agustina-xx1mg
    @Agustina-xx1mg 9 ปีที่แล้ว +6

    thank you so much

  • @mariamatrawally7377
    @mariamatrawally7377 3 ปีที่แล้ว

    Thank you so much sir you helped me alot.

  • @dopemuno37
    @dopemuno37 3 ปีที่แล้ว

    Thanks man it really helped 👍

  • @GetUp777
    @GetUp777 7 ปีที่แล้ว

    thanks for this video, it's very simple to understand :)

  • @Mystenon
    @Mystenon 4 ปีที่แล้ว

    Dude you are carrying me through my entire finals

  • @juanferbazo9979
    @juanferbazo9979 8 ปีที่แล้ว +1

    Cool video! But in the last exercise can i factorise and write 4e^x[√x+1/(2√x)]?

    • @VndNvwYvvSvv
      @VndNvwYvvSvv 5 ปีที่แล้ว

      I don't even see how you get that, and I think you want the terms to be distributed.
      2e^x( (1/√x) + 2√x ) will work, but that isn't much simpler. To put irrationals on the top of fractions, we can now factor out √x and get 2e^x √x( 1/x + 2).

  • @Pintexx
    @Pintexx 6 ปีที่แล้ว +1

    I just realized how easy derivatives are!!

  • @ivozeleto2014
    @ivozeleto2014 3 ปีที่แล้ว

    You're an mvp.

  • @sy2pie
    @sy2pie 6 ปีที่แล้ว

    I've just spent a year doing a maths module with the open University and come out unable to remember any of it. I watch this and it's sticking (and has taken an hour).

  • @borjbarcena
    @borjbarcena 9 ปีที่แล้ว +2

    Nice work

  • @ball4lifemixtapes493
    @ball4lifemixtapes493 6 ปีที่แล้ว

    mate your deadset legend

  • @_Relinquished
    @_Relinquished ปีที่แล้ว

    im in 11 class and my chemistry exam is tommorow and im not studying maths currently and this just seems fun

  • @silentwalls6272
    @silentwalls6272 8 ปีที่แล้ว +1

    great work,thank you

  • @TopG_m340i
    @TopG_m340i 6 ปีที่แล้ว

    Wow made it very clear/easy.

  • @tabrezahmed1000
    @tabrezahmed1000 5 ปีที่แล้ว

    From where does product rule forumulae and quotient rule come from?

  • @animitasahasaha8738
    @animitasahasaha8738 7 ปีที่แล้ว

    do you have a vdo for the power rule?

  • @abdullahsameer9743
    @abdullahsameer9743 7 ปีที่แล้ว

    Please give description about the basic of Function

  • @EngrJigs
    @EngrJigs 8 ปีที่แล้ว

    Very helpful 👍🏼

  • @aaronvences2452
    @aaronvences2452 2 ปีที่แล้ว

    I can't seem to figure out how to solve (x+7) to the 4th power over (x+7)^2 square root(x + 7)

  • @slingshotninja6970
    @slingshotninja6970 8 ปีที่แล้ว

    Isnt The First Question factorised? Why cant we simply expand it and find The Derivative?

  • @cheezie9710
    @cheezie9710 2 ปีที่แล้ว

    Is this applicable in this problem? f(x) = 2x^4+3x^3-2x+7; f' (0). If so how?

  • @uiticus
    @uiticus ปีที่แล้ว

    on the very last equation couldn't you have factored the 2e*x

  • @samrasamra5363
    @samrasamra5363 6 ปีที่แล้ว

    From where l can have these markers they are so amazing

    • @MySecretMathTutor
      @MySecretMathTutor  5 ปีที่แล้ว

      I use Vis-a-vis markers. They are nice and dark, and I can erase them when I'm done. :^D

    • @samrasamra5363
      @samrasamra5363 5 ปีที่แล้ว

      @@MySecretMathTutor l don't know whether l would get them or not....but I am really crazy for the way you write....its amazing beyond limits

  • @jayanthisenthilkumar8990
    @jayanthisenthilkumar8990 7 ปีที่แล้ว

    what will be the answer for n√x log √x, x >o

  • @deborahijeamaka9212
    @deborahijeamaka9212 2 ปีที่แล้ว

    Thanks very much

  • @WelshGuitarDude
    @WelshGuitarDude 8 ปีที่แล้ว

    Why not just expand the brackets by the factor of the function then get the derivative of those terms, instead of finding two different functions of the rule separately then combining them with the primes and normal functions at the end which seems like extra complexity to remember.

    • @cloud_c5222
      @cloud_c5222 7 ปีที่แล้ว

      ??

    • @VndNvwYvvSvv
      @VndNvwYvvSvv 5 ปีที่แล้ว

      You mean to recombine the factors into 3x⁴ + x² and then differentiate it to 12x³ + 2x? Yes, but I suppose we ignore that here in order to teach the rule. The only difference is choosing an expression you couldn't recombine to make it simpler
      That would require a more complicated outer function that might complicate the teaching process?

  • @mnm645
    @mnm645 6 ปีที่แล้ว

    in the last equation isnt the derivative of 4 =0 ?

    • @sarahomer7852
      @sarahomer7852 6 ปีที่แล้ว

      fr tho

    • @VndNvwYvvSvv
      @VndNvwYvvSvv 5 ปีที่แล้ว

      If it was 4 + e^x, but it's 4•e^x instead.

  • @Pun_sangam
    @Pun_sangam 6 ปีที่แล้ว

    Thank u sooo much 😁

  • @jayveeflores7757
    @jayveeflores7757 5 ปีที่แล้ว

    can someone furthermore explain or simplify the 2nd problem for me ? I kinda want to know what its outcome is

    • @asecondaday1138
      @asecondaday1138 5 ปีที่แล้ว +4

      As he said, distribute the square root x
      So, it would be (3x^2 sqr x + 4x sqr x)
      And then, you'd place the x^3 +2x^2 on top of the fraction that is beside it, so it would be
      X^3 + 2x^2
      ----------------
      2 sqr x
      You can, then, factor out a x^2
      X^2 (x + 2)
      ----------------
      2 sqr x

  • @artedsonpascual9339
    @artedsonpascual9339 6 ปีที่แล้ว

    u should finish simplifying especially in some hard examples

  • @venkatareddy4641
    @venkatareddy4641 4 ปีที่แล้ว +1

    Please explain rules also 😫

  • @Toxicstriker55
    @Toxicstriker55 7 ปีที่แล้ว

    just one thing about the power rule can't understand why 3x^2 is equal to 6x?

    • @itsuzairrajpoot6710
      @itsuzairrajpoot6710 7 ปีที่แล้ว +1

      it's because the power of x will multiply with the constant and 1 will minus from the power.
      Like 3x^2 =3*2x^2-1 =6x^1 =6x.

    • @VndNvwYvvSvv
      @VndNvwYvvSvv 5 ปีที่แล้ว

      It is not EQUAL, but one is the derivative of the other, yes. It would be equal for x=2 but not x=10 for example.

  • @IM5NFF
    @IM5NFF 4 ปีที่แล้ว +1

    thanks good

  • @ShivaPeace
    @ShivaPeace 6 ปีที่แล้ว

    this rocks 👍

  • @drubergman339
    @drubergman339 5 ปีที่แล้ว

    And I love you videos

  • @InJamesWeTrust_
    @InJamesWeTrust_ 2 ปีที่แล้ว

    can you compute the deriative of G(x)=-3x^5 X (-9x^3). I know the answer is 216x^7 but im stumped when it comes to using the product rule formula. I have half of the equation solved. g'(x)= (-3x^5) X (-27x^2) +(_______) X (______) =216x^7. PLEASEEEE HELPPPP THANK YOU IN ADVANCEEEEEEE

  • @aucourant9998
    @aucourant9998 7 ปีที่แล้ว

    So simple.

  • @rahulkumar-ou4qi
    @rahulkumar-ou4qi 6 ปีที่แล้ว

    Y= Sin38[cos23-sin 34]

  • @PreetiSharma-zz8np
    @PreetiSharma-zz8np 7 ปีที่แล้ว +1

    there is a mistake in the first example

  • @necktiekakmalith8036
    @necktiekakmalith8036 8 ปีที่แล้ว

    I wanna help in Leibniz theorem

  • @priyamehta8064
    @priyamehta8064 9 หลายเดือนก่อน

    thankyou

  • @MaricelAraneda
    @MaricelAraneda 4 ปีที่แล้ว +2

    ur hand in marriage?

  • @AyAhmed
    @AyAhmed 7 หลายเดือนก่อน

    This is my first liked video on TH-cam.

  • @duaafatima-nk3bo
    @duaafatima-nk3bo ปีที่แล้ว

    nice

  • @jayanthisenthilkumar8990
    @jayanthisenthilkumar8990 7 ปีที่แล้ว

    n another sum (3sec x -4cosec x) (2sinx+5cosx)

  • @prititiwari7118
    @prititiwari7118 7 ปีที่แล้ว

    In first example f'(x) by power rule =2x but can we further take its derivative d(2x)/dx =2*dx/dx=2??? Can't we do this??

  • @animitasahasaha8738
    @animitasahasaha8738 7 ปีที่แล้ว

    I could not understand the 2nd last example

  • @hugheschetpet1780
    @hugheschetpet1780 7 ปีที่แล้ว

    if it is happening it is really happening much true believe it or not sugunakar

  • @jcronin3155
    @jcronin3155 4 หลายเดือนก่อน

    I don't understand why this guy complicates everything by using f and g when the formula clearly uses u and v.

  • @drubergman339
    @drubergman339 5 ปีที่แล้ว

    I’m 5+5-2+3-2+1

  • @ricodiaz8099
    @ricodiaz8099 8 ปีที่แล้ว

    Freebird!!

  • @lightryuzaki3974
    @lightryuzaki3974 6 ปีที่แล้ว

    What level of maths is this its seem basic!..

    • @VndNvwYvvSvv
      @VndNvwYvvSvv 5 ปีที่แล้ว

      High school to AP to University every level depending on where you are.

  • @alipoetry1626
    @alipoetry1626 6 ปีที่แล้ว

    my college fees should go you