Calculus 1 - Derivatives

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  • Опубліковано 25 гру 2024

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  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  2 роки тому +183

    Derivatives - Free Formula Sheet: bit.ly/4dThzf1
    Full 1 Hour 35 Minute Video: www.patreon.com/MathScienceTutor
    Direct Link to Full Video: bit.ly/3TQg9Xz
    Calculus 1 Final Exam Review: ua-cam.com/video/WmBzmHru78w/v-deo.html

    • @noveled_1
      @noveled_1 Рік тому +4

      thanks for practically saving my grade in every stem subject :)

    • @Vrd191
      @Vrd191 Рік тому +5

      Hey the one reading this can you help me at a simple doubt? At 49:16 the derivative of "-9" is 0 but at 46:11 the derivative of "-5" is just negative 5. Why?
      Edit (20hrs after my comment) - it was a error on my side. There was a "x" in - 5 one and hence power rule applies. Error on my side not the teacher's. Sorry for any inconvenience

    • @arkan7rb
      @arkan7rb Рік тому +2

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    • @_johna07
      @_johna07 11 місяців тому

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    • @Burningarrow7
      @Burningarrow7 11 місяців тому

      Your examples are so easy you might aswell give them 2 + 2. How else are you gonna make your viewers think you're a great teacher to gain more views?!

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    @LethalBeastification 4 роки тому +7236

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  • @frozenporcupine
    @frozenporcupine 3 роки тому +3517

    1:25 power rule
    3:51 constant multiple rule
    8:54 limit definition
    13:10 slope of tangent line
    20:32 derivative of polynomials
    26:24 derivative of rational functions
    30:46 derivative of square root functions
    41:08 derivative of trigonometric functions
    42:50 product rule
    49:40 quotient rule

  • @itsdarkest
    @itsdarkest 2 роки тому +1035

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      @mrpicatchoo 10 місяців тому +2

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      @moonasha 9 місяців тому +7

      read your textbook kids, it ain't just for problems :)

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      @duckyoutube6318 6 місяців тому +3

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    • @DraphixGaming
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  • @zoecerlynnxu1188
    @zoecerlynnxu1188 3 роки тому +358

    Derivative of Trigonometry :
    Sin = cos
    Cos = -sin
    Sec = sec.tan
    Cosec = -cosec.cotan
    Tan = sec²
    Cot = -cosec²

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    • @chango3664
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      hey man so im a bit familair with algebra, but is there any other topics i should go over to understand calculus 1 better?

  • @georgesadler7830
    @georgesadler7830 Рік тому +7

    Professor Organic Chemistry Tutor, thank you for an outstanding video/lecture on Derivatives in Calculus One. Derivatives is a very important topic in all of Calculus. Many courses in Science and Engineering uses Derivatives. Derivatives is defined as the rate of change. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.

  • @kurchak
    @kurchak 3 роки тому +69

    @14:15 I just want to point something out. He said the difference between a tangent line and a secant line is that the secant line hits the function at two point and the tangent hits at one point. This is somewhat true, but just know that a tangent line can also hit a function at two (or even many!) points. Many functions are crazy, wavy, windy things and your tangent lines might cross over many parts, but they are tangent TO THAT ONE POINT as opposed to being derived by connecting two points.

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    @renewd 5 років тому +35

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    @amondataanalyst2144 11 місяців тому +2

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    @synicalrabbit 6 років тому +606

    You along with crash course is tbh what is getting me through most of my math/chem courses. I have a suggestion though. I haven't looked in depth at your content since I usually just search what I need to study at the time or watch your new videos so you might have covered this topic - word problems. I've noticed in my college career that word problems are what confuse me, especially with Chemistry. If you were open to sharing any tips you've learned along the way to help ease anxiety with word problems and make sense of them, it would really be beneficial.

  • @BwandoWando
    @BwandoWando 4 роки тому +32

    I haven't done derivatives since graduating college (around 2 decades ago), I even hardly remember what it is used for. Watching this video refreshed and unearthed those buried memories and started to appreciate what it is for. Thank you.

    • @csinspain
      @csinspain 3 роки тому +9

      I am 74 years and I h.avent done derivaties since 1967 but after one viewing it has all come back to me.

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    @chillyvanilly6352 Місяць тому

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  • @computersciencestud6452
    @computersciencestud6452 2 роки тому +19

    I'm currently in a Calculus class. All the examples my professor makes require the use of algebra in between to then make this, and sincerely it's fine but it just confuses me, that makes that it so I can't focus on learning the basic of what we are doing first because I get easly distracted by the other things in between, so thank you for making this straight to the point, really really helpful! I have been doing terribly in my class because of that, I hope now I can improve my grades.

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    @leodamon1003 3 роки тому +73

    I'm studying derivatives now for my pre-cal. this is a huge help. Thank you so much!!

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    • @dacodingbot3018
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  • @AV4Life
    @AV4Life 10 місяців тому +1

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    @sorenthegaymer 3 роки тому +8

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    @scarmackd1498 3 роки тому +2

    I haven't even started precalc and this man is making derivatives understandable

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    @alexonian2940 3 роки тому +14

    Thank you my man! Freshman here trying to teach myself calculus, you explain everything so well. Cheers!

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  • @sazokuotsutsuki8848
    @sazokuotsutsuki8848 2 роки тому +5

    remember
    d/dx f(x)= f`(x)*x`
    d/dx sin(x)=cos(x)*x`
    same with the rest of the trigonometric functions
    d/dx (f(x))^n = n(f(x))^(n-1) *(f`(x)) * x`
    ^ means power
    * means multiplication
    ` means derivative

  • @Ayesha-Fetirusso
    @Ayesha-Fetirusso 2 місяці тому

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    Student of grade 8, require this comprehension for a personal endeavor. Clear, engaging. Bravo.

  • @radenewinkelman340
    @radenewinkelman340 4 роки тому +6

    You are an excellent teacher. Thank you for all your efforts.

  • @amalusman666
    @amalusman666 4 роки тому +1

    You are best math teacher to ever exist. God will bless a million times. You don't know how much you have helped me

  • @NamTran-if6eb
    @NamTran-if6eb 3 роки тому +6

    The best teacher ever in my life.

  • @adityauniverse7112
    @adityauniverse7112 2 роки тому

    this is the best maths video I found on youtube till now and I'm not kidding...thank you so much !!!

  • @GoatboyNaiko
    @GoatboyNaiko 3 роки тому +5

    This video is brilliant.
    I always recommend your stuff to my fellow students 'cause you make this stuff easier to understand than most teachers.

  • @rgarciap7
    @rgarciap7 3 роки тому +2

    The best calculus tutorial I have watched in UA-cam. Thanks 😊

  • @uchihaitachi9170
    @uchihaitachi9170 4 роки тому +5

    This guy truly is a life-saver

  • @arbigjylbegaj
    @arbigjylbegaj 2 роки тому +1

    I am so glad that this guy makes these videos on dark mode even tho I prefer light mode on most of my apps. It makes these awsome videos even better by saving power for example rigjt now that I have low battery on my phone and also makes the more nice to look at at night. I also realised that they go very well with the dark theme I have in my keyboard and youtube app right now.

  • @marlossmith1271
    @marlossmith1271 2 роки тому +11

    This guy has free pass to heaven

  • @surbhikumari953
    @surbhikumari953 12 днів тому

    I don't know why but I'm just understanding calculus for my pass time and your videos about calculus are the best

  • @sangheonchoi5979
    @sangheonchoi5979 6 років тому +112

    you have a beautiful soul

  • @benk3431
    @benk3431 3 роки тому +2

    Ly bro u explained this better than my teacher could in over 2 weeks

  • @sagarsinghbk
    @sagarsinghbk 3 роки тому +3

    Thank you so much for helping all the students of the whole world.

  • @MME947
    @MME947 3 роки тому +2

    I hope you are earning good from UA-cam. You are the best teacher I came across.

    • @MME947
      @MME947 3 роки тому +1

      You deserve the best!

  • @Alexis.j3nni
    @Alexis.j3nni 4 роки тому +3

    Thank you. You’re one of the reasons why I’m passing my calc class.

  • @rebeccatong2553
    @rebeccatong2553 4 місяці тому

    Dude this is super clear and so well explained. Better tutor than my professor

  • @GyeonghunPyeon
    @GyeonghunPyeon 3 роки тому +17

    학생들의 수업을 준비하면서 많은 자료들을 찾아 보곤 합니다. 어떻게 하면 더 쉽게 설명할 수 있을까? 특히 미분이라는 개념을 직관적으로 와닿기 하기 위해서 어떤 방법을 쓸까 고민했었는데 이 영상에서 그 방법을 잘 소개해 준 것 같습니다.

    • @prpl__5115
      @prpl__5115 2 роки тому +5

      i wish i had a teacher like you, seems like you care a lot about your students. respect

    • @AlexandrBorschchev
      @AlexandrBorschchev 2 роки тому +1

      I suggest 3b1b, he has a great calculus series intended for intuition and uses many visuals!

    • @Flamester7TV
      @Flamester7TV 2 роки тому +1

      This guy is helping people and even teachers in other countries truly a great man

  • @yanlingqin7530
    @yanlingqin7530 11 місяців тому

    You make it so soothing and relaxed to watch math video even with most hideous math formulas! Big thank you ! Please continue doing it🎉

  • @alexei1672
    @alexei1672 Рік тому

    this month last year, i was watching your videos because i was reviewing for our entrance exam for college. tonight, im watching your videos again but in preparation for the incoming school year (i got in my dream school T-T) istg you are such a lifesaver