Derivative of sin(x) from First Principles

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  • Опубліковано 23 вер 2024
  • I used the definition of derivative to show that d/dx (sin x) = cos x

КОМЕНТАРІ • 95

  • @likhomava600
    @likhomava600 Рік тому +39

    My days of suffering are finally gone, i have found myself a tutor who explains clearly what they are doing, thank you sir.

  • @JoeTaxpayer
    @JoeTaxpayer 9 місяців тому +11

    There are videos that take 20 minutes to show a problem that my students should do in 2-3 minutes. Your videos get right to it, worth every second of my time. (I am a HS math teacher/tutor/sub). I'm watching to improve my own style of teaching. And I'll say, you have a voice that's so calming, I can listen to you for hours and not get bored.
    Thank you for doing what you do.

  • @georgebigouch330
    @georgebigouch330 8 місяців тому +3

    I am from Peru, and my mother language is Spanish, and I have to say that your UA-cam videos are fantastic and clear, your pronunciation is nice, and I understand all you say, thanks very much.

  • @sairamk2799
    @sairamk2799 10 місяців тому +4

    dont stop learning those who stopped learning are the ones who stopped living- hit me ......thank you so much for this derivation sir

  • @andernogamer8625
    @andernogamer8625 9 місяців тому +7

    Love from India 🗿🕶️

  • @jethrobo3581
    @jethrobo3581 Рік тому +7

    Wow! God gave you the gift of being a superb teacher! Thanks for sharing your gift and please don't stop!

  • @samwelkariuki3114
    @samwelkariuki3114 2 роки тому +13

    Wow...you are one of the best teachers I have met online thank you for clarifying the last step

  • @rayraro5168
    @rayraro5168 3 місяці тому +1

    Your enthusiasm for maths is very clear ,and i find myself smiling because of it from time to time! I hope to be able to teach my peers in a similar way one day

  • @saniulazam5715
    @saniulazam5715 Рік тому +3

    Wow. Your teaching is litterally awesoum....❤❤❤🎉

  • @Tawny3991
    @Tawny3991 3 місяці тому

    Thank you so much for explaining this really clearly and not rushing through any steps. This question came up in a practice paper I did, and I was really stuck, but this video has helped to clear that up. Thank you!

  • @Great_dreamer
    @Great_dreamer 9 місяців тому

    You are one of the best teacher I have met online.! You did amazing, the way in which you explain is so simple.! And the other one which interest me is your pronunciation it's good for we Africans!! Thank you DON'T GIVE UP I'm from Ethiopia

  • @esromaron2057
    @esromaron2057 9 місяців тому +1

    you could use factor formula from sin (X+h)-sinx

  • @belalmenisy5859
    @belalmenisy5859 Рік тому +7

    shouldve came here before my a level maths edexcel exam

  • @tyrell1505
    @tyrell1505 2 роки тому +2

    This question disturbed me a lot...thank you so much

  • @NEUMATHEMATICSACADEMY
    @NEUMATHEMATICSACADEMY 4 місяці тому

    Sir,you are powerful and determined. You are a born teacher❤❤

  • @Antelope2000
    @Antelope2000 Рік тому +2

    Lovely and engaging explanation.

  • @harshsrivastava3305
    @harshsrivastava3305 Рік тому +2

    Thanks alot sir it helps me very much at the last day of exam✨🤞

  • @EternalScienceAndTech
    @EternalScienceAndTech 9 місяців тому

    You are a blessing to this generation. Keep up the good work

  • @kerrynewman1221
    @kerrynewman1221 Рік тому +3

    Looks like you're using hyperbolic trig functions. Love refreshing my collage days 45 years ago. Your videos are great.

  • @yogex_demon4390
    @yogex_demon4390 2 роки тому +2

    Thank you so much sir I was just breaking my head good channel I will share it to my friend hope you get more subs

  • @MirriamKalesaBlessed-rf4gh
    @MirriamKalesaBlessed-rf4gh Рік тому +1

    Wow you really good, I'm having sessional exams next week and i was very stuck with this topic 😮

  • @VedanthRaj789
    @VedanthRaj789 7 місяців тому

    Sir I'm from India and I like ur teaching style and explanation

  • @VishalThakur-i2q
    @VishalThakur-i2q 11 місяців тому

    Sir I'm from India and I like ur teaching style and explanation❤❤

  • @renesperb
    @renesperb Рік тому +2

    A only have one little sugestion : rewrite the terms first completely , and only at the end take the limits , then you have write less.
    Otherwise ,I think you're doing a very good job.

  • @MireraNYAMWEYA
    @MireraNYAMWEYA 2 роки тому +5

    Actually my professor did set this in an exam but thanks sir.

  • @dilchiramarak5515
    @dilchiramarak5515 Рік тому +1

    Thanks for teaching n i m hoping to get more explain from you 🥳

  • @Mediterranean81
    @Mediterranean81 Місяць тому +1

    7:51 give me the proof of the limit as h goes to 0 of (cos h - 1)/h

  • @sneedle252
    @sneedle252 9 місяців тому +1

    Just a small suggestion: You might want to link videos for proofs used in a video in the description to make them easier to find.

  • @BSam-ru4mw
    @BSam-ru4mw 9 днів тому

    Amazing,
    A million thanks 🙏

  • @frimi8593
    @frimi8593 10 місяців тому

    the two limit identities you used, they aren't derived in your other videos from l'Hopital's rule are they? Because if they are then this proof is begging the question

  • @dougaugustine4075
    @dougaugustine4075 2 місяці тому

    I've got to dig up the video about the two identites!

  • @MurshidIslam
    @MurshidIslam 2 роки тому +5

    8:19 Those two limits can be found on his previous video: ua-cam.com/video/XZ-l80jqY5U/v-deo.html

  • @sergiolucas38
    @sergiolucas38 2 роки тому +3

    great video, man, nice speech at the beginning as well :)

  • @chembekunda8111
    @chembekunda8111 Місяць тому

    Where have you been 😭 this is well put

  • @M33lvyn
    @M33lvyn Рік тому +1

    woowww... i understood perfectly well sir

  • @fonkenmunprincelly1422
    @fonkenmunprincelly1422 2 роки тому +1

    Thanks alot sir you made me understand better

  • @rafuuuu3950
    @rafuuuu3950 7 місяців тому

    Amazing!!! Watching from Philippines 🎉🎉

  • @PeaceOnosohwo-ys7kb
    @PeaceOnosohwo-ys7kb Рік тому +1

    Thank you sir for the help and i will like to ask for help to solve a maths question

  • @Science_worm
    @Science_worm 8 місяців тому +1

    Can you solve for -2sinx

  • @punditgi
    @punditgi Рік тому +2

    Hurrah for Prime Newtons! No stone left unturned! 👍

  • @Blueking_Bg
    @Blueking_Bg 8 місяців тому +1

    Thank you Sir

  • @Macharia_Githinji
    @Macharia_Githinji Рік тому

    Thanks Man 👍👍👍 this lesson has helped understand this in minutes🙏

  • @samwelkariuki3114
    @samwelkariuki3114 2 роки тому +2

    Actually your handwriting is 👍👍👍

  • @Greatness829
    @Greatness829 2 роки тому +2

    Love your African vibe sir but on another note thnx for the clear explanation

    • @PrimeNewtons
      @PrimeNewtons  2 роки тому +1

      Thank you.

    • @Greatness829
      @Greatness829 2 роки тому

      @@PrimeNewtons do you do online tutoring

    • @PrimeNewtons
      @PrimeNewtons  2 роки тому +2

      I could if the conditions are right. Please email me (primenewtons@gmail.com)

    • @Greatness829
      @Greatness829 2 роки тому +2

      @@PrimeNewtons will do sir...will probably mail you at the start of the week

  • @b_dog_piano
    @b_dog_piano 6 місяців тому +1

    Thanks a million!

  • @jena2379
    @jena2379 2 роки тому +3

    vera level sir.....

  • @chhayasharma8479
    @chhayasharma8479 2 роки тому +2

    thank you sir helped me a lot 👌

  • @petergithinji220
    @petergithinji220 6 місяців тому +1

    You must be a professor ❤

  • @iosifpuha6114
    @iosifpuha6114 5 місяців тому

    When will someone show a proof of this but using the definition with x->c instead of the definition with h->0?

  • @surendrakverma555
    @surendrakverma555 6 місяців тому

    Good 👍 Thanks

  • @motivational-site
    @motivational-site 2 роки тому +2

    Thanks!

  • @M33lvyn
    @M33lvyn Рік тому +1

    i have a question tho..
    what if we were asked to solve this?
    y=Sin4x

    • @PrimeNewtons
      @PrimeNewtons  Рік тому

      That's stressful but not impossible. Anyone asking you to do that from first principles is unkind.

    • @M33lvyn
      @M33lvyn Рік тому

      @@PrimeNewtons lol
      My maths lecturer
      💔😅

  • @kabir_mash
    @kabir_mash 2 роки тому +1

    Great to see will smith with the slapping math tutorials, keep it up my guy

  • @shanecurrie4999
    @shanecurrie4999 Рік тому +1

    Such a perfect video

  • @Samarrr04
    @Samarrr04 8 місяців тому

    Loved this video, huge thumbs up

  • @herkulepoirot9314
    @herkulepoirot9314 3 місяці тому

    Nice proof, but shouldn't your => be = ?

  • @F_3020
    @F_3020 Рік тому +1

    最高ですね😀!!

  • @ezekielokoth
    @ezekielokoth Рік тому +1

    Keep it up sir!

  • @EmmanuelDivine-qm9em
    @EmmanuelDivine-qm9em Рік тому +1

    Awesome ❤

  • @omojuwainioluwa5657
    @omojuwainioluwa5657 2 роки тому +2

    👍

  • @mymenare
    @mymenare 6 місяців тому

    Nice

  • @aashmazayn819
    @aashmazayn819 2 роки тому +1

    Thanx u some much .

  • @RoshaniKalasua-bs7if
    @RoshaniKalasua-bs7if Рік тому +1

    Awesome

  • @_.MoneyMastery._
    @_.MoneyMastery._ 8 місяців тому +1

    Meanwhile in India we're doing this in 11th grade lol😂😂😂😂

  • @lawrencemore4752
    @lawrencemore4752 Рік тому +1

  • @mk-jl3zd
    @mk-jl3zd 8 місяців тому

    Can you write smaller!!!?

    • @PrimeNewtons
      @PrimeNewtons  8 місяців тому +1

      That must be a hilario-sarcastically designed comment 🤪🤪🤪

  • @evwerenisaacoghenenyerhovw232
    @evwerenisaacoghenenyerhovw232 8 місяців тому

    Professor

  • @awholevibestv6739
    @awholevibestv6739 Рік тому +1

    JUST ADDED A Sub ,,,,,zambia

  • @KelvinMutua-hm4wq
    @KelvinMutua-hm4wq 5 місяців тому

    Thanks sir 😂

  • @vedanshvinodh4356
    @vedanshvinodh4356 7 місяців тому

    god

  • @chama888
    @chama888 10 місяців тому +1

    Bro never hesitate
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    Google asks bro for the direction

  • @fonkenmunprincelly4079
    @fonkenmunprincelly4079 Рік тому +1

    Your the best

  • @chandamwila1754
    @chandamwila1754 5 місяців тому

    Ulimupondo( you are powerful!) From now onwards we are friends!

  • @reg-net8956
    @reg-net8956 Рік тому +1

    Please write "X" as a capital X; the small x looks like an "n" also, I hate it when teachers write "X" as two back to back "c"s; there is enough ambiguity in equations without making them more ambiguous.

    • @PrimeNewtons
      @PrimeNewtons  Рік тому +1

      Thanks for the feedback. I think I'll stick to my handwriting style. Hope you find it meaningful next time.