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Definition of the Derivative

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  • Опубликовано: 21 фев 2018
  • This calculus video tutorial provides a basic introduction into the definition of the derivative formula in the form of a difference quotient with limits. It explains how to find the derivative of a function using the limit process. This video contains plenty of examples and practice problems.
    Full-Length Math & Science Videos:
    / collections
    ___________________________________
    Derivatives - Fast Review:
    • Calculus 1 - Derivatives
    Limit Definition of the Derivative:
    • Definition of the Deri...
    Derivatives - Alternate Limit Definition:
    • Alternate Form of The ...
    Derivatives - The Constant Rule:
    • The Constant Rule For ...
    Derivatives - The Power Rule:
    • The Power Rule For Der...
    _________________________________
    Derivatives - Constant Multiple Rule:
    • The Constant Multiple ...
    Derivatives - Polynomial Functions:
    • Derivatives of Polynom...
    Derivatives - Sine and Cosine:
    • Derivative of Sine and...
    Derivatives - Trigonometric Functions:
    • Derivatives of Trigono...
    Derivatives - Limits:
    • Limits and Derivatives
    _______________________________________
    Equation of the Tangent Line:
    • How To Find The Equati...
    Derivatives - Horizontal Tangent Line:
    • How to Find The Point ...
    The Equation of The Normal Line:
    • How To Find The Equati...
    The Equation of The Secant Line:
    • How To Find The Equati...
    Average and Instantaneous Velocity:
    • Average Velocity and I...
    _______________________________________
    Final Exams and Video Playlists:
    www.video-tutor.net/

Комментарии • 600

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +35

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: ruclips.net/video/cyn6CDnAlcA/видео.html

  • @tambahsaah8005
    @tambahsaah8005 3 года назад +2354

    I have dropped Calculas three times in three semester because after struggling to pass the 40 mark out 100 in all the tests, it was obvious Math was not my thing. This guy has saved my life. I got 48 out of 100 in my first exam for this fall and I considered dropping again until I found this guy. Second exam I got 84 for the first time in my existence on earth in math.🤣 Now I’m like a boss in class answering all the questions 🤣😂

    • @silvercat7392
      @silvercat7392 3 года назад +150

      I'm so happy for you!! That's what I'm hoping happens to me too, haha, I've been getting less than 40% on my first two Calc tests so far, and right now I'm studying for the third test!

    • @drenibrahimi1300
      @drenibrahimi1300 3 года назад +36

      That's awesome! Mind sharing tips on how you improved besides watching these videos?

    • @starboii568
      @starboii568 3 года назад +18

      @@silvercat7392 bro same got less than 30 in my first test and i already know i failed the test i wrote last week, i need a 70% in my final test and another 70% for the supplementary test.

    • @DirtBikes_MathGarden
      @DirtBikes_MathGarden 3 года назад +34

      @@drenibrahimi1300 do ya homework, understand trig and be able to build a unit circle, and develop a fundamental, abstract understanding of what the calculations you’re doing actually MEAN in terms of the function you’re working with.

    • @abuumohameddara9928
      @abuumohameddara9928 3 года назад

      Wow great bro

  • @user-gi8lt3tc8n
    @user-gi8lt3tc8n 4 года назад +1604

    Thank you sir .. The only teacher on the earth who is a Mathematician but can't count his students

    • @zephloe
      @zephloe 4 года назад +22

      Its just his number of total views lol

    • @kennu3988
      @kennu3988 4 года назад +126

      @@zephloe but 1 viewer can view multiple videos so he actually can't count his actual number of students lol

    • @zephloe
      @zephloe 4 года назад +5

      @@kennu3988 total views per video.

    • @kennu3988
      @kennu3988 4 года назад +31

      @@zephloe yea but each vid has different views so he can only estimate really

    • @usctrojanfreak
      @usctrojanfreak 3 года назад +7

      @@kennu3988 estimate to find the average ;)
      there's always a way

  • @Bnelen
    @Bnelen 4 года назад +804

    I used to think people were joking when they said they learn more from here than school.
    Now in Uni I can absolutely confirm. I rely heavily on these tutorials - doesn't help that my school provides nothing but problems to solve.

    • @green_razor8569
      @green_razor8569 4 года назад +20

      Bnelen 95% of what I learn is school is either 1. Irrelevant info I’ll never use (Tedtalk vids, useless history facts etc.) and 2. Stuff I already learned using my textbook or by watching youtube vids. I honestly don’t know why I even bother going smh my head

    • @adammouaddine8866
      @adammouaddine8866 4 года назад

      this way is much harder if you wwant i can give you a much easier wayyyy

    • @lightrail2900
      @lightrail2900 4 года назад

      futur wolf Chain rule?

    • @adammouaddine8866
      @adammouaddine8866 4 года назад

      @@lightrail2900 I don't know it in English but it's like a board of rules

    • @lem09able
      @lem09able 4 года назад +27

      I'm half a semester away from graduating engineering and can say that I've given up on learning in school. I go there to know what I need to learn and then go to youtube, read some books, and do self studying about the material mentioned in the school. They're only good at telling you the syllabus(chronological order of what to study) and giving you some problems to solve. At the end of the day, you'd really be the one putting all the work.

  • @davidlzda
    @davidlzda 3 года назад +795

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      Why do I feel like you are a nile student 😅

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  • @spritfun1542
    @spritfun1542 4 года назад +542

    From high school to university, his tutorials are always golden! Thanks!

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    Imagine being the sole reason for probably thousands of kids graduating college every single year. You are making a huge impact on this earth and we all really appreciate it

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    • @Montanajj
      @Montanajj 5 месяцев назад +3

      I’ve literally been learning all of applied calculus through this man. It’s at the point where I don’t even need to go to class because he just explain it better then my teacher does

  • @superbutter476
    @superbutter476 3 года назад +380

    When a 20 minute video beats ur whole semester of school

    • @darudewott
      @darudewott 3 года назад +19

      Kinda of. I think this video is helpful because of our classes. If we didn’t go to class and watched this video we wouldn’t really understand it and how to apply it. I think that’s was the videos seem better than our courses. It’s because we did the course first

    • @grass5697
      @grass5697 3 года назад +1

      the p a i n

    • @brucefrancisyang8816
      @brucefrancisyang8816 3 года назад +6

      @@darudewott that's true ,the video like the supplement of the course what we studied in class,it helps us to understand that better.

    • @Montanajj
      @Montanajj 5 месяцев назад

      @@brucefrancisyang8816I feel like that’s not true though. As long as you have a textbook you can apply this stuff. There’s no reason that a textbook and some RUclips videos teach you better then your professors

    • @trunklemcjeans
      @trunklemcjeans 3 месяца назад

      @@Montanajjuh..? A bad professor is a reason..

  • @myphone9698
    @myphone9698 3 года назад +64

    I just want to hug this man and say thank you. He makes everything so easy to understand.

  • @Noogai
    @Noogai 2 года назад +33

    This 2 year old video of yours are still saving students like me from poor lecturers. Thank you, you magnificent being. I'll support you fully when I have a job someday and it'll be all thanks to you.

  • @viprflowrs
    @viprflowrs 3 года назад +58

    I wouldn’t be able to do the math in my engineering program if it wasn’t for this dude right here. Thank you for being my teacher the past couple of years!

    • @vungo4529
      @vungo4529 2 года назад

      yeah dude why does in school they cant be straight to the point like this?

  • @sanashandholder
    @sanashandholder 3 года назад +101

    nah but why am i attracted to his voice studying has made me fr delirious 😭

  • @miraculoushulumununum4020
    @miraculoushulumununum4020 4 года назад +74

    It's not even my professors fault i'm flunking, but your videos really do a great deal of help in my studies. I'm really slow when it comes to these kinds of things, so my brain can't process the lessons whenever I attend class. Thanks a bunch! :)

  • @ichangedmynamealotoftimes
    @ichangedmynamealotoftimes 4 года назад +31

    Been watching your videos since I was in 8th grade, now I'm in 11th grade and your videos heavily helped me get through general math, trigonometry, pre-calculus, calculus , and Chemistry! Thank you!

    • @lukky7615
      @lukky7615 Год назад +6

      how you holding up now

  • @aiyshasulaiman5755
    @aiyshasulaiman5755 5 лет назад +60

    Watched like 10 of your videos and they are so helpful! Thank you so much!

  • @ranavantaepurple7856
    @ranavantaepurple7856 4 года назад +5

    Since I have been watching your videos I believed that my teachers cannot be teachers and the money that I give to them should be given to you because you are the one who simplize everything to me and made me understand very well so a huge thanks for your hard work you helped me so much❤️❤️

  • @bruv8668
    @bruv8668 Год назад +6

    bro i went from literally failing out of math 4, not knowing how to factor, or literally nothing about the unit circle, to an 86 on my limit exam for calc in one summer thanks to you. Absolute fucking legend, I hope to do even better on this derivative exam to prove how good of a resource you are.

  • @l4dfreak101
    @l4dfreak101 3 года назад +6

    Yo you are honestly the reason I am gonna pass calculus this semester. idk how you manage to teach this stuff so much better than my actual professors, but you do! Thank you!

  • @numodumo6094
    @numodumo6094 5 лет назад +14

    Oh my goodness. Thank you so much so much for solving this!! I was stuck on this for ages and asked my maths teacher multiple times but still don’t get it. 2 minutes in the video was all I needed to solve a month long of anxiety!! Thank u so much!

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    @tadeuszkarcz4540 5 лет назад +7

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  • @jefftube3580
    @jefftube3580 10 месяцев назад +1

    Okay I have to say it. You are the only reason why I am passing my Calc class right now. I truly appreciate you and i just want to take a moment to let you know that I am so honored to have you as a help guild. THANK YOU soo much. Please keep up the good work.

  • @limitedpa
    @limitedpa 2 года назад +3

    With all the videos you posted it gave me everything I needed to know to pass my Calc Dual Enrollment Placement test. I am eternally grateful love from va, US

  • @rickbryan8573
    @rickbryan8573 3 года назад +3

    Thank you for making all those videos! ❤️ I really struggle at college rn with all those maths and the lect just won't tell us those small little things that matters! I hope you are blessed with health and wealth for helping people like us by spending your time! 🌟

  • @statik8460
    @statik8460 3 года назад +32

    I was literally crying over how the actual f*** I get f(x+h) thank you so much, this teaches me way more than in school

    • @songschannel9059
      @songschannel9059 2 года назад

      I don't really get it still. Can anyone explain how from f(x) = 5x -4 we got f(x+h) = 5(x+h) -4 ? Shouldn't it be something like f(x+h) = 5x -4 + h ?

    • @avnqi
      @avnqi 2 года назад

      @@songschannel9059 Because 5x = 5(x) and we replace x with x+h

  • @reemmizari7780
    @reemmizari7780 3 года назад +12

    somebody come pick my jaw up from the floor. This guy is my savior. FINALLY I GET IT! THANK YOU!!

  • @blessinginnocent9563
    @blessinginnocent9563 Год назад +1

    Your contents are amazing. I've haven't been finding calculus easy, but with you I've been understanding better than even what I'm being taught by my teachers in college. Thank you so much God bless you ❤️🖤

  • @jackwilson4324
    @jackwilson4324 5 лет назад +2

    I worked it out using the formula again, and did in fact get 2x+10, being the derivative of the trinomial/quadratic equation x^2+10x-8, also great videos, your brain holds a lot of knowledge.

  • @cassied9327
    @cassied9327 4 года назад +2

    My teacher explained this well, but it helps so much to have this a resource to watch and rewatch.

  • @tabithalovie390
    @tabithalovie390 3 года назад +3

    I am struggling through online AP freaking calc rn and this mans videos mean SO MUCH to me.

  • @zachrosedahl2813
    @zachrosedahl2813 2 года назад

    you are my savior. I have a teacher with a very thick accent who is hard to understand. I have learned more from you in one afternoon than a whole month of her teachings.

  • @Elkoshairiyous159
    @Elkoshairiyous159 3 года назад +1

    Bro you da goat. Calc professor can't explain much but this man really helps.

  • @jordanmuwanguzi1515
    @jordanmuwanguzi1515 2 года назад +4

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    • @b.r379
      @b.r379 Год назад

      Also thought of the same

  • @br0hamus
    @br0hamus Год назад +1

    I must say, my Calc professor for this semester is a bore, and she doesn’t really explain anything. This video right here taught me way more about derivatives than she could in an entire class. Thanks man!

  • @Hsiik
    @Hsiik 6 месяцев назад

    You are literally the best teacher anyone could ASK FOR!!! You’ve helped me through my high school years🩷 and even when my senior year was tuff in HS you’ve helped me pass my math ap course. Now I’m a first year university student and still coming back to your channel and videos when I need help in calculus or chemistry. I really want to thank you from my heart cause you are the best!! You literally help me understand a whole 3 chapters in five min better than my professors can 😢 once again thank you so so so much for creating this beautiful and amazing channel you are an angel sent from god to help students who are struggling ❤️.
    Wish me luck guys I have a calculus quiz tomorrow 😢

  • @malkimchannel3976
    @malkimchannel3976 Год назад +1

    Just recently graduated, Thanks so much and continue helping students outside there

  • @shadrackokello8228
    @shadrackokello8228 9 месяцев назад +1

    An exceptional math tutor man. Saves me with the seemingly "complex" concepts which he eases 💪💪💪

  • @thepatienceofpandemoniump2624
    @thepatienceofpandemoniump2624 Год назад +2

    idk why but math's in your voice is actually kinda soothing and helps me get less angry at maths ya know

  • @xximenangg
    @xximenangg Год назад +3

    This guy teaches me more in 20 minutes than my math teacher can in a week.

  • @mani_mincraft
    @mani_mincraft 9 месяцев назад

    Thank you, I was taught that once but I couldn’t really understand what he was saying because he went over it briefly. Now I understand! Amazing

  • @juliusbaltazarayuno7451
    @juliusbaltazarayuno7451 5 лет назад +39

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      @mikes1639 3 года назад +4

      There's no way you're still in EE

    • @Charles-ot2yf
      @Charles-ot2yf 3 года назад +11

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      @taterazay8549 2 года назад +3

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  • @hassanabdullahi5622
    @hassanabdullahi5622 2 года назад +1

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  • @josephacri3908
    @josephacri3908 4 года назад +1

    Your teaching style is excellent I hope your around a long long time

  • @shahadmerani3116
    @shahadmerani3116 2 года назад +1

    Yo I've been struggling with this subject all year, I'm someone that understands things easily but I've used so many ways and I still never managed to understand what this subject was about and it really gets to me and bro you literally took 30 seconds THIRTY SECONDS to make me understand smth I've been struggling with for a year

  • @TateIsaacs
    @TateIsaacs 2 месяца назад +1

    Literally so helpful, not sure how this is even possible

  • @nitayweksler3051
    @nitayweksler3051 3 года назад +2

    Thanks!
    In high school i learnt many formulas of derivatives but never learnt the "classic method" until now :)

  • @georgesadler7830
    @georgesadler7830 11 месяцев назад +1

    Professor Organic Chemistry Tutor, thank you for explaining the Definition of the Derivative in Calculus. The examples increase my understanding of the material.

  • @murithimwenda8668
    @murithimwenda8668 8 месяцев назад +1

    Doing my calculus resit exam Year 2 now currently in year 4 in 2 days. After watching these tutorials and practising, I feel I'm ready🥱

  • @rafeh61924
    @rafeh61924 3 года назад +1

    Keep On Creating Amazing Videos! We will Always support You no matter what our Teachers Say.

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    @ella7205 8 месяцев назад +1

    Came here during high school now I'm back again for uni
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  • @albertstiktoktrend3855
    @albertstiktoktrend3855 4 года назад +2

    Bro thanks. On God you're making Calculus really easy for me

  • @omarmokhtar1806
    @omarmokhtar1806 2 года назад

    i know u wont see my commient but i swear that ur videos are just super easy and superhelpful and super reliable i really like ur way in teaching how calm u speak thx

  • @the_flaming_ryno5320
    @the_flaming_ryno5320 Год назад +1

    Thank you so much was told by my lecturer that we wouldn't need to know this. So then they didn't teach us about solving it, then in an epic plot twist it has been included in my final assignments. you saved this mans bacon!

  • @user-lt8yq7mc7z
    @user-lt8yq7mc7z 4 года назад +35

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      @MoHaMmADAlmo7taref 3 года назад

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    • @MoHaMmADAlmo7taref
      @MoHaMmADAlmo7taref 3 года назад

      I did watch lot of videos here, even though we're non-English speakers but his lessons is really understandable!! I'm in the first year in university and I've got benefits through this lessons

  • @lenso2010
    @lenso2010 4 года назад +3

    Thank you . well explained and now starting to understand the bits

  • @simonpeapo9521
    @simonpeapo9521 3 года назад +1

    Gifted and the king of mathematics, thank you sir l learn a lot from you

  • @ronn5577
    @ronn5577 2 года назад

    The best teacher ever,thanks for being a very good teacher

  • @user-cv6xv3iy7h
    @user-cv6xv3iy7h 3 месяца назад

    i never thought id take calc 1 because im not good at math but here i am. im trying to do it and thank you so much for being literally such a great explainer 🙏🏼 this concept seems so easy but it was so hard to understand how things plug/substitute in

  • @mryup6100
    @mryup6100 4 года назад +12

    So nice! Love this guy... I subbed!

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    @jeanneelessa8016 10 месяцев назад

    2 videos only 2 and the chapter is in my head already 😭😭 thanks to you ❤️❤️

  • @hikari443
    @hikari443 2 года назад +1

    I been watching your other videos as my exam is this Saturday and I know how to do already hope I can pass this time round ☺️

  • @user-co9fn3cm7h
    @user-co9fn3cm7h 4 месяца назад

    I used to pass maths with distinctions back in my college days. However, I like the way you break it down hence I use your tricks to teach my students now that I'm a lecturer.

  • @filtech7388
    @filtech7388 2 года назад +3

    ooh myself. This guy is a math genius. I like how he explain to make everything look easier unlike how we are taught in classes by marathon lectures 🤣😂.

  • @side_135
    @side_135 11 месяцев назад

    I will be forever grateful to this channel🤧

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    @IbrahimMohamed-eq5dw 5 лет назад +6

    Like your videos they are straight and concise and to the point

    • @omarmaya1263
      @omarmaya1263 3 года назад +1

      Plus dark mode for watching at night :D

  • @camillep102
    @camillep102 Год назад

    i was in shambles during my calc 1 lecture on this topic, but this video helped sm!! thank u for all u do frrrr

  • @ayyuix6426
    @ayyuix6426 3 года назад

    Awtsss bat ngayon ko lang ito nakitaa hahaha sayaangg di ako mahilig mg yt nung college, galinggg mgturoooo mo sir! I understand it so well 🧡 thank youuu so much for this oneee🧡

  • @Melanie-sk7qh
    @Melanie-sk7qh 3 года назад +1

    i just wanna say thank u and me to still not giving up on math and im doing great now thanks to u : )

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    @topman2542 3 года назад +13

    "This is a very large problem, but you have to do it on a test "

  • @fatimahussam6624
    @fatimahussam6624 3 года назад +1

    I can't believe I actual understood this 😭😭... can't thank you enough sir

  • @jizzsaab1576
    @jizzsaab1576 3 года назад

    Thank you so much. Barely passed calc and that’s all thanks to u man!

  • @animestudent8441
    @animestudent8441 8 месяцев назад

    thanks for the great video, examples and the content. 💪💪💪

  • @Chrisymcmb
    @Chrisymcmb 3 года назад

    Honestly man, thank you! You should definitely update your merch and drop some new fresh linens, I'd cop in a heartbeat.

  • @Myheart19608
    @Myheart19608 10 месяцев назад

    His voice is so good and his teaching skill is top notch 🙌

  • @hopelesshaddy3332
    @hopelesshaddy3332 4 месяца назад

    This guy is so good I'm not even taking Calc yet (I'm an Algebra 2 Baby) but I understand everything he's doing 🙏🙏🙏 Its way less daunting now

  • @averagestudent5222
    @averagestudent5222 10 месяцев назад

    Thank you for making everything simple

  • @khushimachiwal6751
    @khushimachiwal6751 4 года назад +5

    Sir thank you so much for such amazing explanation.....why don’t we have such teachers in our colleges...we are totally wasting our money there 🤐

  • @chocoberry434
    @chocoberry434 Год назад

    This make me speechless...thank you so much for the explanation😭❤

  • @casthesweetheart
    @casthesweetheart 2 года назад +1

    Thank you so much!! I’m struggling in calculus!!

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    @obadiahsombe6884 3 года назад +1

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  • @subject427
    @subject427 Год назад

    God bless you sir,,, you did alot of great work here that my light particles got shaken

  • @oflaygurz
    @oflaygurz 2 года назад +2

    who needs teachers when your channel exists?

  • @augustayartah2401
    @augustayartah2401 3 года назад

    This is a outstanding explanation to know. Aw great video to see.

  • @pancake5558
    @pancake5558 3 года назад

    I always watch his videos a day before my classes so that i came prepared :D also that he teaches better than my professor bruhhh.

  • @RanaHanzla-xv5tk
    @RanaHanzla-xv5tk Год назад

    Your teaching way is gorgeous 😍
    I'm very satisfied with you❤...
    Thank you 😊

  • @everistobwalya551
    @everistobwalya551 3 года назад

    You are the best lecture I have found

  • @morynmeela7520
    @morynmeela7520 3 года назад +1

    This is really saving my life you know,,,,,,, sir update more please,,,,with this ,,, am having an A in math

  • @karrrtziy3044
    @karrrtziy3044 4 года назад +1

    Bro you save my life in calculus

  • @angepants
    @angepants 10 месяцев назад

    This video is so good that even I, an 8th grader can understand this concept.

  • @saraalkinani304
    @saraalkinani304 8 месяцев назад

    I wish a life filled with happiness , u deserve the best things in this life

  • @abduwelidalel9054
    @abduwelidalel9054 4 года назад +2

    Before you mathematics was like rock for me, but now it's my water.. thnks you

    • @tylerbirchall9096
      @tylerbirchall9096 2 года назад +1

      As in it used to be solid and dependable but now you feel like you are drowning in it?

  • @user-nv9ws5qu6y
    @user-nv9ws5qu6y Год назад +1

    I watch your videos every day and it's helped me out a lot. I appreciate you making those videos. I hope I will get into a pharmacy course next year.

  • @FA_0202
    @FA_0202 2 года назад

    Thank you sir !!! Very helpful and glad to learn from here😍

  • @thanaphons3669
    @thanaphons3669 2 года назад

    Wowwww, It's so amazing math.
    I understand, it's easier that I thought because of you.

  • @beatsforeveryday5314
    @beatsforeveryday5314 4 года назад +54

    I can’t hear “h” the same anymore

    • @rockricky0
      @rockricky0 3 года назад +7

      it’s so ✨crispy ✨

    • @eylulvv
      @eylulvv 3 года назад +2

      @@rockricky0 ✨chrisphy✨

    • @mija1570
      @mija1570 3 года назад

      eychhhhhh

  • @user-dj9xx4lr5p
    @user-dj9xx4lr5p 4 года назад +4

    You're wonderfull teacher.I'm thankfull you with all of my heart

  • @RagingBull721
    @RagingBull721 2 года назад

    Just wanted to tell u that u are the best man, thank u 💪

  • @yunuskedir4017
    @yunuskedir4017 3 года назад +3

    My university entrance exam is tomorrow. Trying to finish 2 years worth of lectures in a day.

  • @user-vp8ke8dr5t
    @user-vp8ke8dr5t 4 года назад

    I love alll your videos!!!
    Holy, they are so helpful

  • @preciousabolarinwa3005
    @preciousabolarinwa3005 2 года назад

    i might as well start paying my tuition to this guy

  • @makopolencio3695
    @makopolencio3695 4 года назад +3

    This really helped me a lot!! Thank you :>