Calculus 1 Lecture 2.1: Introduction to the Derivative of a Function

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  • Опубликовано: 9 ноя 2024
  • / professorleonard
    Calculus 1 Lecture 2.1: Introduction to the Derivative of a Function

Комментарии • 437

  • @AirIndy1
    @AirIndy1 7 лет назад +315

    Professor Leoanard,
    You did every college kid a favor by posting these lectures. You made Calculus fun, and way easier to learn. I used these videos for review before my midterm.
    Salute!

    • @kidd1941
      @kidd1941 Год назад +6

      I've got midterms next week😥

    • @sluggy333
      @sluggy333 Год назад +1

      @@kidd1941 howd ya do

    • @iQber
      @iQber 26 дней назад +1

      @@sluggy333 he still didn't respond😞

  • @mehrpouyamovahadi1542
    @mehrpouyamovahadi1542 10 лет назад +349

    if every teacher was a boss like this guy, funny, patient, and kind, our nation would be transformed!

    • @ChristinaMoralesMindfuqed
      @ChristinaMoralesMindfuqed 7 лет назад +25

      There would be less suicide rates tbh

    • @indritduka2951
      @indritduka2951 7 лет назад

      lol

    • @hilmeathar1114
      @hilmeathar1114 6 лет назад +25

      Yeah sadly this is so true, so many people feel and choose to end their life because they are struggling in college and begin feeling hopeless. If more professors made an effort to not let students fall into the margins and instead taught methodically, checking if the class is following, in a style similar to Professor Leonard, many of those students would have alot more hope.

  • @Ays536
    @Ays536 10 лет назад +92

    I grilled the internet and all the online courses from the high class universities to refresh my memory with calculus to get myself ready for Msc finance & Accounting at lSE, I didn't find one like yours. No words could describe my appreciation for ur explanation. Nobel Prize should be awarded for people like you. On day, I will meet you, hopefully I can pay you back :)

  • @hawahardy
    @hawahardy 3 года назад +165

    0:00 - Concept of Derivative
    5:41 - Finding derivative of f(x)=2x²- 3 and the equation of the tangent line to f(x) at (2,5)
    16:00 - Eg. Find derivative for f(x)=2x³-x
    27:45 - Eg, Find derivative for f(x)=3x+2
    30:10 - Eg. Derivative for f(x)= sqrt (x) and equation of the tangent line at x=4
    41:00 - Instantaneous velocity
    43:16 - Eg. S(T)= 1250 - 16T²
    57:25 - Differentiability
    1:11:30 - Representations for derivatives

    • @yurisaraiva7980
      @yurisaraiva7980 2 года назад +3

      thank you friend, you are a friend

    • @edastrophe
      @edastrophe 2 года назад +4

      @@yurisaraiva7980 thank you Yuri, you are Yuri

    • @Aurora-bv1ys
      @Aurora-bv1ys Год назад +1

      @@edastrophe Thank you Eda, You are Eda

    • @edastrophe
      @edastrophe Год назад

      @@Aurora-bv1ys lol he said thx friend, you are a friend, sooo

    • @Aurora-bv1ys
      @Aurora-bv1ys Год назад

      @@edastrophe I know, I was just following "Monkey see monkey do"

  • @bpbuds
    @bpbuds 10 лет назад +164

    ive gone through like 10 hours of your course in the span of three days. You're the man. I am forever grateful for your videos. :)

  • @laurenabrishami7193
    @laurenabrishami7193 9 лет назад +61

    I was so lost but after watching these videos for 2 days straight, I feel confident to do well on my exam! Thanks Professor Leonard :)

  • @amaechiodoh9407
    @amaechiodoh9407 2 года назад +6

    At the moment, I'm a graduate student but I never understood calculus during my undergrad. A few weeks ago I was telling a friend in grad school that I needed to enroll for undergrad calculus and he recommended that I follow professor Leonard's lessons on youtube. I started watching from lesson 0.1 and I feel like professor Leonard just empowered me. Thank you so much prof, you just made my life easier and because of you I am well equipped to understand and relate better to both science and math.

  • @serinepoghosyan4784
    @serinepoghosyan4784 Год назад +8

    Professor Leonard I want to say thank you for posting these videos on RUclips. I am going to study in university after 3 months and these precise definitions of calculus that you have provided is a gift for me. Now I can go confidently towards my future... Thank you

  • @pettyjames7
    @pettyjames7 9 лет назад +13

    When I'm lost in a Calculus problem I just come to your videos and all is well. Thank you for all the time and effort you put into these videos. Your school and students are fortunate to have you as a professor.

  • @cr7neymar908
    @cr7neymar908 Год назад +18

    Man I wish I had a teacher like professor Leonard in high school. I barely passed algebra 1 and failed every other math class. I’m currently going back to school after the army and have worked my way up to calc from elementary math over the past year. Needless to say professor Leonard is a huge help

    • @issahmusenga1196
      @issahmusenga1196 Год назад +1

      Incase you need help with your maths course just contact me

    • @EdwinHernandez-uq1gl
      @EdwinHernandez-uq1gl Год назад +1

      @@issahmusenga1196hey I’m currently struggling with calculus because my algebra wasn’t good I came from Mexico to the us and I only study my senior year of high school so i feel behind or not enough any recommendations?

    • @user-hd3hy2gg9f
      @user-hd3hy2gg9f 7 месяцев назад

      pre calculus book of stewart ​@@EdwinHernandez-uq1gl

  • @kristinpiotti1911
    @kristinpiotti1911 8 лет назад +83

    I have found your lectures on youtube and since I am an electrical engineer major at USF, I have found your lectures on here more beneficial than the ones I sit in on a daily basis. I wanted to thank you for posting your lectures. I just wish you actually were a professor at USF so I could benefit more from an actual sit-in lecture

    • @peachlife5118
      @peachlife5118 8 лет назад +11

      I am in the same boat! A software engineering major and unfortunately my profs are pretty bad. They are not clear and concise and my calc prof has terrible handwriting which I can never read. I pretty much only go to class to know what kind of questions he puts emphasis on for tests, I usually have to spend a few hours teaching myself everything. Thankful to people like professor Leonard.

    • @mikehunt8946
      @mikehunt8946 8 лет назад

      Not to sound condescending, but how did you even get into EEng without knowing this stuff? I did my B.Eng in mechatronics and then M.Eng in electrical (research was in the field of photonics). I would of been crucified if I wasn't extremely proficient in at least calc 1 in my first year, it was all assumed knowledge from day 1.

    • @peachlife5118
      @peachlife5118 8 лет назад +2

      Well personally for me, I did very well in this stuff in high school but I had a large gap between graduating and college and I definitely did not do any math during those 4 years (woops). Lol so thankfully it is all coming back to me through watching these videos. The only really new concepts I have to learn are incorporating log, ln and the trig functions into differentiation.

    • @ryanblack7229
      @ryanblack7229 7 лет назад +16

      Experiences in life vary. Not all universities are ran like a chop shop. Additionally, leading with "Not to sound (anything)" only amplifies that (anything) you are trying to avoid.

    • @chrisksmock
      @chrisksmock 7 лет назад +9

      i started my engineering degree with algebra classes lol.. in calc 2 right now

  • @Unholypotato
    @Unholypotato 10 лет назад +30

    you explain everything so clearly. watched every video. i dont even need to go to my lectures anymore!

  • @tyleraustin7871
    @tyleraustin7871 Год назад +3

    For once in my life I honestly feel like I understand math. It's been years since I've been comfortable working out problems with numbers and somehow I feel like using these videos to prepare myself for my calculus courses has changed my perspective of why math is essential. Thank you Professor Leonard!!!

  • @laurenparnell168
    @laurenparnell168 4 года назад +10

    The absolute best calculus professor I have ever seen! I wanted a summer refresher with Calculus 1 from AP Calc in high school before I continue with my calculus classes... I DID NOT KNOW HOW MANY CONCEPTS I DID NOT ACTUALLY UNDERSTAND THE MEANING OF WHAT I WAS DOING. Professor Leonard makes you understand why you're doing what you're doing. I will use his videos even while I'm taking calculus the next two semesters.

  • @kentarotanaka568
    @kentarotanaka568 4 года назад +4

    This guy makes calculus look so easy. When I took calculus1 7 years ago, the professor never mentioned calculus is for solving slopes on a curve or finding the area between 2 points in a curve. He was more concern about making us recreate all the formulas we used in class from scratch.

  • @jdak29
    @jdak29 6 лет назад +5

    The students in this class have won the math lottery. The are being taught by the best math teacher I have ever seen.

  • @starzredweb
    @starzredweb 8 лет назад +893

    what is the derivative of the function of his bicep curve

    • @naziajasmeen4203
      @naziajasmeen4203 8 лет назад +16

      😂😂😂😂😂

    • @02fulcecille
      @02fulcecille 7 лет назад +16

      Wtf HAHAHAHAHAHAHAHA

    • @7906jun
      @7906jun 7 лет назад +53

      = undifferentiable (muscle level off the numeric chart known to mankind).

    • @cconnie3762
      @cconnie3762 7 лет назад +14

      It's over 9000 lol.

    • @Neme112
      @Neme112 7 лет назад +49

      His sharp peaks would obviously not be differentiable.

  • @maknusagr8agn330
    @maknusagr8agn330 9 лет назад +4

    Thank you sir! I got lost a little when my professor started to explain derivatives. After watching your video a few times, I felt very comfortable. I went to class today and was not lost at all, I followed EVERYTHING. Thanks again. You are definitely, THE MAN!

  • @OwolabbyAzeez
    @OwolabbyAzeez 10 лет назад +306

    when Professor Leonard asks if everyone understood the problem and you raise your hand :)

    • @imanabu5862
      @imanabu5862 7 лет назад +10

      "exactly hhhh or when he says : are we alright with this? and you be like" i'm might actually pass this isn't just alright this is perfect

    • @spcverger
      @spcverger 6 лет назад

      Same!

    • @jerrymahone335
      @jerrymahone335 6 лет назад

      why doesn't he teach the sun and power rule off the bat. all of this could be avoided.

    • @geromeponch6248
      @geromeponch6248 6 лет назад

      Same

    • @seanwells1672
      @seanwells1672 6 лет назад +2

      Because the power rule isn't introduced till later chapters and some teachers won't let you use it till you've learned the def. of the derivative function

  • @jonathanreynolds2625
    @jonathanreynolds2625 Месяц назад

    Twelve years later and your videos are being used by colleges to teach students, like myself, Calculus. Whenever the coursework uses one of your videos I let out a sigh of relief. Because I know that by the end of it, I'll actually understand the material because you go at a perfect pace when teaching and show all your steps. I'm never left questioning how you got from point a to point b. Also, my notes remain neat. I've had issues in other videos of making a full page of notes, only to have the instructor circle back to an earlier note section and add more information. So thank you from the bottom of my heart for making it not only possible, but easy, for folk like myself to learn.

  • @heydyvex
    @heydyvex 10 месяцев назад +2

    you are saving my life, literally, I found beauty in math with your way of teaching

  • @TheRohit901
    @TheRohit901 10 лет назад +1

    Hello Professor Leonard, I'm one of the luckiest people around here who found your videos, your style of teaching is excellent, the way you teach can make even a donkey sit in the class quietly for 1 hour, you really teach the subject in a detailed manner, you do make the subject more interesting and fun, I opened my textbook and wanted to study about calculus but the way its explained there,it is impossible to be understood by me, but thank god i saw your videos, now I'm pretty confident that at least i have a basic idea of what's happening. Thanks a ton professor, your a blessing to mankind, I wish every student in this world can get a teacher like you, Once again thank you for taking so much trouble in uploading the video and making it available to the public for free, I'm from India and will never forget you in my life, if possible I would like to maintain contacts with you via Facebook in case i have any Doubts. Thank you Professor.

  • @zongonative7397
    @zongonative7397 10 лет назад +21

    Amazing lecture.I beginning to love maths because of your teaching methods.

  • @Apolorock11
    @Apolorock11 8 лет назад +187

    It's so easy to learn like this, also it reminds me I have to go to the gym xD

    • @starfighter179
      @starfighter179 4 года назад

      @Apple rock why does this video calc. Lect. Remind u to back to the Gymnasium???

    • @lifeishappening1651
      @lifeishappening1651 4 года назад +2

      Milo Still probably because of Professor Leonard’s muscles... :) *Gym as in fitness/workout place :)

    • @SeanElliottH
      @SeanElliottH 4 года назад

      Lol... Right!

    • @SeanElliottH
      @SeanElliottH 4 года назад +1

      @@starfighter179 obviously Prof. Leonard does, hence the reminder. Jacked and mathematical! #word

  • @abdelmoeimelgayar8906
    @abdelmoeimelgayar8906 6 месяцев назад

    I swear by my god , you are going to the heavens directly without any questions ❤. You saved me and saved all of the student. You enlighten us
    God bless you professor Leonard

  • @stevesynan3910
    @stevesynan3910 8 лет назад +8

    Thanks to you I'll never forget that a derivative is the curve of a tangent on the point of a slope.

  • @yasu4216
    @yasu4216 Год назад +1

    It's 2023 and Mr. Leonard's videos are still the best. I love the easy and understandable language, which he uses. Also, I'm really interested in derivative of his biceps.

  • @thomasplatt7329
    @thomasplatt7329 2 года назад +1

    Prof Leonard is the perfect example of how a good teacher makes all the difference.

  • @rummanhabib2781
    @rummanhabib2781 Год назад +2

    This might be my first time commenting on any video but I just have only one thing to say. WOW. You, Professor Leonard, are an ABSOLUTE LEGEND. I hope I can meet you someday and repay you, thank you, from the bottom of my heart!

  • @dvader1676
    @dvader1676 9 лет назад +4

    My Cacl professor is extremely difficult and gives no partial credit. It's either all or none (engineering school) . These lectures have become so helpful!

  • @tashmoyghosh2090
    @tashmoyghosh2090 6 лет назад +2

    Sir Leonard teaching to mathematics make everything clear to the point

  • @sunshinehobi3966
    @sunshinehobi3966 9 дней назад

    I'm a freshman at ucsd and this is my first time having a calculus class ever. felt super dumb in my calc 1 but watching Professor Leonard videos have helped me a lot to truly understand the concepts and know why they formed. I'm currently watching the lectures up to where I currently am in class and I hope to learn a lot more and get good grades on my math class! I'm actually having fun while learning math, that rocks! :D

    • @ProfessorLeonard
      @ProfessorLeonard  8 дней назад

      You're going to do great! I'm glad you're finding the videos helpful :)

  • @emoutraspalavras-marloncou4459

    I am addicted to calculus, even though I have always been a language freak. Prof. Leonard, you're a miracle doer, sir!

  • @Purple.Maniac
    @Purple.Maniac 2 года назад +3

    I'd rather attend these classes than my actual classes,
    Professor knows how to put a point across 💜

  • @WalkingGhosts
    @WalkingGhosts 10 лет назад +3

    Thank you for posting these videos! I can finally grasp the concepts of the derivative with your examples and explanations. You're a teacher who actually teaches! Thank you!

  • @romadabos4534
    @romadabos4534 2 года назад

    He's the kind of a teacher that every student deserves .
    He makes the subject less scary and make you fall in love with it.
    That's what a teacher should be like.

  • @ianhnizdo4787
    @ianhnizdo4787 3 года назад +1

    I'm re watching these videos after watching this series, Calc II, and Calc III while taking notes. You pick up on a lot of information better on the second go to the point where I can visualize a lot of what he's saying beyond what he is drawing on the board.

  • @alyssamalo3605
    @alyssamalo3605 7 лет назад +4

    Dito to everyone of these comments talking about how amazing you are. My stress levels are exponentially lower because of you.

  • @siyajobodwana876
    @siyajobodwana876 7 лет назад

    This guy has made me major in Mathematics for my Engineering degree,thanks a lot Sir..aint scared of Maths no more! He is excellent!

  • @ViviFuchs
    @ViviFuchs 8 лет назад +2

    Going back to school after a long hiatus and your videos are amazing. I've forgotten so much of what I've learned previously and you go into the perfect level of detail. Thank you soo much for what you do.

  • @simonmbugua1907
    @simonmbugua1907 9 лет назад

    PROF I am watching your lecture from Kenya ... You are inspirational to me... calculus is becoming easy easier and easiest through you... keep up the spirit you are so helpful to all students world wide like me.... I wish you many years to come to help many

  • @Conrad_t
    @Conrad_t Год назад +1

    I've learned more from Professor Leonard than my actual Calc 1 Professor. Thanks, king!

  • @omarababneh304
    @omarababneh304 6 лет назад

    I study in Jordan Tech University in Jordan and for the first time I understood calculus best prof ever

  • @heatherhewett8973
    @heatherhewett8973 8 лет назад +3

    Every time I watch one of your videos, I feel like something clicks....even if it is a concept i THOUGHT I previously understood. Thank you so much!!! :)

  • @Subahwoo
    @Subahwoo 9 лет назад +1

    Thank you for making the topic easy to understand! I also appreciate that you do not talk down to the student like most math professors I have had.

  • @georgeh1352
    @georgeh1352 2 года назад

    Good clear explanation, my calculas was a bit foggy when I lfirst learnt it 40 odd years ago but this Professor is shining more light on the subject, filling in the gaps of my knowledge, thank you sir.

  • @jerrenb...
    @jerrenb... 6 лет назад +2

    I have my confidence back in math learning from this guy

  • @ryanblack7229
    @ryanblack7229 7 лет назад

    He really seems to genuinely care about his students level of understanding. Even though it results in more skipping ahead for me, it's refreshing to see a professor that hasn't lost the will to teach.

    • @Peter_1986
      @Peter_1986 6 лет назад

      He actually said "I love you all" in one of these first videos.
      I think it was the video before this one, or something like that.

  • @leonardodawestie8899
    @leonardodawestie8899 10 лет назад +3

    You Professor Leonard have saved my life

  • @vivianneeycyu786
    @vivianneeycyu786 8 лет назад +2

    Best Teacher Ever! I was struggling with my HW

  • @szeloklau7380
    @szeloklau7380 4 года назад +1

    idk if this is a good strategy but basically my teacher just reads off of the textbook (yes even in an online class) and since I don't understand anything, I make notes of the textbook as I go along and then when my exam is near, I BINGE WATCH the lectures I need. but frl these videos are not only informative they're also fun cuz it's in a classroom setting and prof leonard is dynamic in his way of teaching so watching these 1-2 hour videos don't even feel like a chore. I actually FEEL like i'm learning.

  • @isaacburdiss
    @isaacburdiss Месяц назад

    My gratitude towards you approaches infinity as my class approaches its first test

  • @Foxy-uj3vj
    @Foxy-uj3vj 6 лет назад +2

    We need more of you in our universities ;thank you for your effort

  • @Moisi547
    @Moisi547 8 лет назад +4

    I appreciate your work, your videos actually help me a lot in my Calc 1 class; being that I'm an average math student! You are a great teacher.

  • @thingstoremember4489
    @thingstoremember4489 8 лет назад

    Thank you so much for this. Freshman year at auburn and my calc teacher has never taught in english before. This helped me so much.

  • @134214567893
    @134214567893 8 лет назад +5

    This guy is fucking good! I learned more here than I did the whole semester in my boring ass class with my boring ass professor! Thank you!

  • @youngbachelortv2883
    @youngbachelortv2883 9 лет назад +50

    Professor swole of doyouevenlifthamatics

  • @AtaAriser
    @AtaAriser 9 лет назад

    We had our calculus midterm this week and I killed the limit thanks to you L-King! Now I'm rolling with you on the Derivative and will on Integral, when I see them questions I easily fended 'em off with the things you taught, limit has ended, lol

  • @wendypolanco4470
    @wendypolanco4470 4 года назад +1

    I cant thank you enough for this video! I'm passing Cal thanks to you.

  • @hummathwiz5713
    @hummathwiz5713 6 лет назад +1

    I’ve finally got to understand what those math symbols really mean in derivatives. Thank you so much!

  • @ZuruiBudou
    @ZuruiBudou 10 лет назад +1

    Thank you SOOOO much! I'm taking calculus in University and this is so helpful! Please don't stop!

  • @millermiller3439
    @millermiller3439 2 года назад

    I felt the need to post this comment. I stopped doing work for calc during week 2 of college. I'm now at week 7 and am cramming as hard as I can to save the course. You have been beyond a life saver.
    P.S. Don't do this. Just do the work from the start lol

  • @loic2205
    @loic2205 9 лет назад +24

    ive always loved math and im even a math major however, when i took calc 1 for the first time i hated it... the professor didnt teach well and her exams were 10x harder than the examples on her study guide and on her quizzes. im taking it again and my new prof also sucks at teaching and has even admitted that he didnt like his job... im almost thinking of changing majors but if anyone can convince me to stick it through and actually learn this stuff it'll be u Superman

    • @barfood8253
      @barfood8253 9 лет назад

      +Miguel Merino Before I take AP Cal I believe I fall in love with math as well... But now that's just a midnight...

    • @loic2205
      @loic2205 8 лет назад +2

      ***** I wish! I passed Calculus 1 and now im taking Calculus 2 but my professor has a very heavy accent and is hard to understand but thankfully Professor Leonard has Calc 2 videos too :)

    • @juanpabloaguirre6390
      @juanpabloaguirre6390 7 лет назад

      +Sveva Ramasco hahahha adesso sto studiando per il mio esame di Calculo, veramente i professori fanno schifo, tutto lo ho imparato da qua

  • @universalpaper
    @universalpaper 9 лет назад +176

    when did superman start teaching math?

  • @muazalli8999
    @muazalli8999 3 месяца назад

    youre an amazing teacher. im taking calc bc next year after taking pre calc and your vids are very helpful

  • @madalitsophiri7457
    @madalitsophiri7457 5 лет назад

    You are the master of this game Prof Leonard

  • @HarrisonW-o6v
    @HarrisonW-o6v 5 дней назад

    bro this guy is my king I wish i had him as my calc teacher

  • @jimmidge13
    @jimmidge13 10 лет назад +1

    Howdy Must admit to failing Calculus in 1951 first time around
    and only wish you were my instr. You are good

    • @Lnblackberry48
      @Lnblackberry48 5 лет назад

      Jim Midgley are you still alive ?? Not being funny but wow 1951 ?? You must have been born in the early 30s . You’re almost to the point of being in the “greatest gen “ I think

  • @ins4rt_username18
    @ins4rt_username18 3 года назад

    4:38 I didnt understand what this formula is for such a long time, until I found this video. Now I finally understand it!!

  • @rocks7456
    @rocks7456 3 года назад +1

    Oh my goodness I'm about to finish half a semester on Professor Leonard's Online University. :'> Really helpful. Thank you so much, Sir.

  • @mr.eeeeeeeeee
    @mr.eeeeeeeeee Месяц назад

    Brilliant breakdowns of what formulas MEAN.

  • @eduttk1882
    @eduttk1882 4 года назад

    this man has my 80.99% attention,,,,, if you do the math right the remainder is only for his biceps!

  • @tinoballesteros
    @tinoballesteros 8 лет назад

    Wow, you are an incredible teacher. Your lectures make Calculus fun.

  • @wilmercuevas6491
    @wilmercuevas6491 3 года назад

    Thank youuuu I get excited when I pause the video, solve the problem before you do it and then I see that I got it right :) I am good to go for my exam

  • @trevorharrell7559
    @trevorharrell7559 Месяц назад

    Love your videos, it's helping me get back into calculus after a major life event that forced me to drop out of college. Love the jokes and humor as well. I just wanted to point out a fun fact lol. You said "differentiability" was a great Scrabble word. Well really it's not because no word longer than 15 letters can ever be played in a game of Scrabble when following the rules 😆

  • @kmk3236
    @kmk3236 5 лет назад

    Thumbs up!!!!!!!!!!!! Your tutorials are all i need in my calculus class......

  • @morbid_corner
    @morbid_corner 3 года назад

    Sir, you’re a lifesaver for my calc 1 class!

  • @Hanz2989
    @Hanz2989 8 лет назад

    Awesome work...i love the fact that he is making sure everyone gets it.

  • @ABCD-uu4kt
    @ABCD-uu4kt 4 года назад

    29:08 slope of a curve at any point is not at all a constant, but a fixed equation in which x can be substituted

  • @robertjr8205
    @robertjr8205 2 года назад

    Doubt you will see this Professor, but I wish you had a pdf of practice problems for every section! Or at least problem numbers for every section from a recommended book! Love this and reviewing calc 1 to calc 2 to prep for calc 3. Hoping to finish up to calculus 3 by summer so I can be ready.

  • @TheJoeMinaj
    @TheJoeMinaj 9 лет назад +19

    idk how his students focus... im distracted looking at his beauty

  • @kaledab8099
    @kaledab8099 9 лет назад

    Professor leonard the ONe And The only teacher in Maths

  • @Varde1234
    @Varde1234 8 лет назад +1

    It's really hard wanting to find the derivative using limits when you already know the d/dx trick. It's so much easier. Derivative of a constant = 0; derivative of X is just 1; derivative of e^x is just e^x; derivative of x^2 (all you have to do is just move the the exponent to the front of d/dx and subtract the exponent n-1) is 2x.
    Although using limits for this enriches the understanding, it's so inefficient for questions like find the derivative (2(x^2))-3.

  • @mocha9534
    @mocha9534 4 года назад

    Thank you very much professor Leonard. Don't give up good work. Wish you all the best sir.

  • @harshalabhyankar3144
    @harshalabhyankar3144 7 лет назад

    best teacher on this planet!!!

  • @fatimamahmoud519
    @fatimamahmoud519 6 лет назад +1

    OMG....you’re incredible ❤️❤️❤️
    Thank you so much
    God bless you you’ve helped me so much.

  • @princess5436
    @princess5436 7 лет назад

    Those videos really helped me sir I appreciate that you're videos really helped me I was lost and I don't know what to do but once I saw your videos sir I did all the questions right from the textbook thank you so much😍😍😍👌🏻👌🏻👏🏻👏🏻

  • @seanwells1672
    @seanwells1672 6 лет назад +1

    Golly, your videos are long BUT each minute is worth it! I might have hope of acing my 2nd test now..

  • @TheThreeDimpledGirl
    @TheThreeDimpledGirl 9 лет назад +1

    the vid is gr8.now i think maths is all about fun rather than numbers....

  • @jtwoms8119
    @jtwoms8119 3 месяца назад

    The GOAT calculus teacher🔥

  • @ziaulislam5319
    @ziaulislam5319 9 лет назад

    Sir very important vedios we learned very coceptual things from these vedios...we wish the best for you sir..

  • @thisisme5487
    @thisisme5487 Год назад

    This man is a whole unit and a half.

  • @TheEdcort
    @TheEdcort 5 лет назад

    Thank you so much for explaining this rollercoaster. It's hard and a long process to answer one question. 🤓

  • @SparshKarki
    @SparshKarki 9 лет назад +1

    You're Awesome. You take everything to root level so everything is understandable. (y).
    I hope there are other videos on derivatives.

  • @iamxareed
    @iamxareed 9 лет назад

    best teacher in the world thank you sir

    • @kaledab8099
      @kaledab8099 9 лет назад

      +abdullahi jama Said hhhhhhhhhhhhhhhhh ka seeexo meesha

  • @GaminYoon1
    @GaminYoon1 7 месяцев назад

    These lectures are so helpful!

  • @zeyism3981
    @zeyism3981 5 лет назад

    I am getting all the right feet in math, thank you man !!!

  • @bankaimonarch
    @bankaimonarch 11 месяцев назад +2

    I wish this proff was my Uni math teacher

  • @sergiomedina5520
    @sergiomedina5520 6 лет назад

    Thanks a lot professor Leonard. I wanted to know what was exactly the meaning of the Derivative.

  • @Diamondsarekewl
    @Diamondsarekewl 9 лет назад

    My Calc Professor at UC Davis should watch your videos and learn how to teach like you.