Derivative of Cos x from First Principles.

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  • Опубліковано 27 вер 2024
  • In this video, I used the definition of the derivative to show that d/dx cos x = -sin x

КОМЕНТАРІ • 120

  • @EternalScienceAndTech
    @EternalScienceAndTech 9 місяців тому +26

    Those who stop learning stop living.

  • @hajarysn9828
    @hajarysn9828 2 роки тому +11

    I am from Morocco, and although I do not know your language well, you are very good at explaining, good luck, teacher 💗😊

  • @gangayal3252
    @gangayal3252 7 місяців тому +10

    I am Indian, i don't know our language well but you explained well than our lecture thank you so much

    • @suyunbek1399
      @suyunbek1399 7 місяців тому +2

      if you missed a letter not by accident, then you just said you don't know hindi well. its "your language", if you don't know english well. and if you don't know language please learn the culture first and the approriate phrases for situatuons otherwise it becomes awkward.

  • @priyaperforms
    @priyaperforms 2 роки тому +20

    Just loved your handwriting and the way you you teach is peculiar🤩 Thank You For the video🌸

    • @PrimeNewtons
      @PrimeNewtons  2 роки тому +3

      Thank you for the positive feedback. I’m glad the video was helpful.

  • @Kavishma_Gunawardhana
    @Kavishma_Gunawardhana Місяць тому +2

    my question solved, thanks sir, god bless u.......

  • @mapaloryannyirenda4223
    @mapaloryannyirenda4223 Рік тому +1

    Thank you for the passionate teaching, it's really amazing and helpful. Beautiful handwriting.

  • @manasan6692
    @manasan6692 2 роки тому +1

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  • @samuelbardi454
    @samuelbardi454 2 роки тому +1

    I have finished my class assignment with understanding. Thanks teacher.

  • @kennismith1160
    @kennismith1160 3 роки тому +6

    Extremely helpful! Thank you so much!!!

  • @soosysanty
    @soosysanty 2 роки тому +2

    loved ur teaching style sir!!was extremely helpful...once again thank you sir

  • @fletcher5197
    @fletcher5197 Рік тому +1

    Greatest math video I have ever watched, thank you so much

  • @andrelokuszta132
    @andrelokuszta132 3 роки тому +4

    Great video!

    • @newtonokewoye4394
      @newtonokewoye4394 3 роки тому +2

      Thanks Andrew. Hope you are rocking it over there!

    • @andrelokuszta132
      @andrelokuszta132 3 роки тому +1

      Thank you! I hope that you are doing good as well!

  • @pietergeerkens6324
    @pietergeerkens6324 8 місяців тому

    Very nicely done.
    I'd also run this through as
    d/dx cos x = d/dx sin (½π - x) = cos (½π - x) * d/dx (½π - x) = - cos (½π - x) = - sin x
    to give a really clear illustration of where the negative sign comes from on (only) the co-trig functions.

  • @SydneyChikumbi-pn6id
    @SydneyChikumbi-pn6id Рік тому +1

    You are my best tutor,I enjoy listening to your lessons.

  • @AdamUmar-yl9xk
    @AdamUmar-yl9xk Рік тому +1

    Thanks man you are now my maths tutor, I will be watching your video to learn ahead

  • @kensonmalupande2424
    @kensonmalupande2424 2 роки тому +2

    Excellently explained, 👍👍 keep it up sir.

  • @ifeoluwa989
    @ifeoluwa989 2 роки тому +2

    I learnt a whole lot😊
    Easy to understand😎

  • @sandraboateng5435
    @sandraboateng5435 Рік тому +2

    it is easy and simple to comprehend

  • @deep_black_p1562
    @deep_black_p1562 10 місяців тому

    من مصر جدا استفد من فيديوهاتك

  • @Manishplathia
    @Manishplathia 20 днів тому

    So many doubts cleared from your video 😢❤❤

  • @arungosavi5698
    @arungosavi5698 7 місяців тому

    Very nicely explained

  • @saqini.j7209
    @saqini.j7209 9 місяців тому

    You are carrying my math Jesus❤ thank youejjjeiwiiwwoow❤ I loveee youuuuuuu

  • @briankipkirui5693
    @briankipkirui5693 2 роки тому +1

    It is a nice explanation ,,,,👏👏👏👏

  • @vinniecupper9695
    @vinniecupper9695 Рік тому

    You just saved my life.God bless

  • @sundiatadavidellah871
    @sundiatadavidellah871 Рік тому +1

    Nicely explained. But this your handwriting, I want to learn it

  • @praisenjobvu7839
    @praisenjobvu7839 Рік тому +1

    Very clear

  • @emmanuelbossfx
    @emmanuelbossfx 4 місяці тому +1

    Please can you explain how sin0 divide by zero is 1 your were wrong

  • @yogex_demon4390
    @yogex_demon4390 2 роки тому

    Do you know in the books they have just did something that can't be understood human human interactions are always the best thank you so much sir

  • @prosperkatjirua1133
    @prosperkatjirua1133 Рік тому +1

    Where did you get the sin x and h

    • @PrimeNewtons
      @PrimeNewtons  Рік тому

      h comes from the definition of the derivative and sin x is from the angle sum formula for cosine. That was something you learned in trigonometry or precalculus.

  • @KirkClarkekirkskarat
    @KirkClarkekirkskarat Рік тому +1

    Nicely done!

  • @BofilaRosemary-jm5db
    @BofilaRosemary-jm5db 10 місяців тому

    Wow thank you so much 🙏😘 you've been a helping a lot

  • @yoongimm752
    @yoongimm752 2 роки тому +1

    You are a life saver!!!

  • @pridetechnologies.5304
    @pridetechnologies.5304 Рік тому

    Best tutor ever 🙌🏿❤️🔥

  • @rimathapa9882
    @rimathapa9882 3 роки тому

    totally different teaching style from nepal
    I learned something new

    • @PrimeNewtons
      @PrimeNewtons  3 роки тому +1

      Helloooooo, friend from afar. Thank you for the feedback.

    • @rimathapa9882
      @rimathapa9882 3 роки тому

      @@PrimeNewtons 😊

  • @PatrickEteuati
    @PatrickEteuati Рік тому +1

    wow love this.

  • @thobedzoephraim7929
    @thobedzoephraim7929 Рік тому +1

    ALL I CAN SAY YOU KNOW YOUR STORY SIR.

  • @rigbyb
    @rigbyb 7 місяців тому

    Perfect video. Thanks a lot :)

  • @dheerajdhamifreefire3491
    @dheerajdhamifreefire3491 2 роки тому

    Thank you sir for your help I am glad tha i have such good teacher thank you sir

  • @farhaansalroo
    @farhaansalroo 3 роки тому +2

    nice video sir but can you solve it by putting the limit as delta x instead of h

    • @PrimeNewtons
      @PrimeNewtons  3 роки тому +1

      Yes. Just replace h with delta x.

    • @farhaansalroo
      @farhaansalroo 3 роки тому

      @@PrimeNewtons thankyou sir i got it

  • @denisbrosnan2008
    @denisbrosnan2008 Рік тому +1

    Thanks. Very helpful

  • @devpatel313
    @devpatel313 2 роки тому +1

    Thnx sir that helped a lot
    Nice explanation ;)

  • @abrahammutongoi4452
    @abrahammutongoi4452 Рік тому +1

    Nice video Profesa

  • @fonkenmunprincelly4079
    @fonkenmunprincelly4079 Рік тому +1

    You are the best

  • @nengimotejaphet2565
    @nengimotejaphet2565 6 місяців тому

    Is it just me or you’re just flirty as a teacher😂🤭 and your voice is nice too😌 Really great explanation btw❤️

  • @sussybaka6347
    @sussybaka6347 7 місяців тому

    well explained

  • @seifwaleed8066
    @seifwaleed8066 10 місяців тому

    amazing video thanks

  • @abdellahhantoute4348
    @abdellahhantoute4348 Рік тому +1

    this video made me subscribe

  • @MathewsSumba
    @MathewsSumba Рік тому +1

    wow i like the videos

  • @gloriakwendo3879
    @gloriakwendo3879 2 роки тому

    Very helpful... Thank you

  • @michaelsmith8760
    @michaelsmith8760 2 роки тому

    Great explanation!!

  • @Sonny2009
    @Sonny2009 3 місяці тому

    awesome

  • @jubileekhozawl4208
    @jubileekhozawl4208 6 місяців тому

    Thankyou sir

  • @nobody-nn3km
    @nobody-nn3km 2 роки тому +1

    Sir I try to solve one more question using your method that is cos²x and get sin2x but the answer is -sin2x so please can you help me🙏

    • @PrimeNewtons
      @PrimeNewtons  2 роки тому

      I don't understand your comment. What is the question again?

  • @pablor1278
    @pablor1278 4 місяці тому

    Missed the proof of the identity to make the vid complete

  • @bhuvanbhuvankg7305
    @bhuvanbhuvankg7305 7 місяців тому

    Thanks you❤

  • @heyitsme_._06
    @heyitsme_._06 2 роки тому +1

    ❤️

  • @حلفانكوارقينوكي

    Lucid!

  • @mohammadrajaian6194
    @mohammadrajaian6194 4 місяці тому

    😍😍

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    @yadhukrishna5453 Рік тому +1

    i love you

  • @phoebehangula4633
    @phoebehangula4633 5 місяців тому

    Uuuf why em i blushing

  • @roitoaritonang1553
    @roitoaritonang1553 Рік тому +1

    12 mia 1 ngaku lu yg nonton

  • @jamesnewcomer5963
    @jamesnewcomer5963 10 місяців тому

    This is not a derivation from first principles. You only know the sinx/x limit from l'Hopital's Rule. Lame

  • @darlingtonsmusasa9096
    @darlingtonsmusasa9096 Рік тому +1

    😊 🫂 thanks

  • @neet_aspirant.06
    @neet_aspirant.06 7 місяців тому

    RESPECT FROM INDIA✨🤌

  • @efesoysal6594
    @efesoysal6594 Рік тому +2

    Great video !

  • @junaida8711
    @junaida8711 11 місяців тому +1

    Thankyou sir 😌 🇮🇳❤️🇳🇬

  • @btsxblink6716
    @btsxblink6716 2 роки тому +2

    Thanks sir i a from India i was literally facing a lot of problems i derivatives but now i guess its interesting to learn tq sooo much one more question sir , where are you from?

    • @PrimeNewtons
      @PrimeNewtons  2 роки тому +2

      I'm glad it helped. I'm from Nigeria.

  • @MeatMi1k
    @MeatMi1k 2 роки тому +1

    Thanks for this homie

  • @БогданКапелюшний-у8п

    Thank you

  • @IrvinMoonga-rw4ul
    @IrvinMoonga-rw4ul Рік тому +2

    Well in the first step,he forgot to substitute cos x for f(x).

  • @chandamwila1754
    @chandamwila1754 5 місяців тому +1

    Best tutor! dealing effectively with our stress! difficult stuff but easily explained. Enthusiasm on point! your smile makes me feel at easy; having all the confidence that iam truly learning something.

  • @parulparvin6775
    @parulparvin6775 Рік тому +2

    I'm from Bangladesh. I easily understand the math after watching your lesson.God bless you teacher😊

  • @tomvitale3555
    @tomvitale3555 7 місяців тому

    It seems that all of the trig function derivations use trig identities to get the limit function in a form that could be evaluated as h approaches 0. I've been taught that Trig Identities are also proven using Euler's Identity (e.g., e^ix = sinx + icosx) which is proven using Taylor series, which is derived from using derivatives of polynomials. Calculus is still at the root!

  • @eamadethisone
    @eamadethisone 2 місяці тому

    great video, just have a question, why is sinH/H when h-->0 =1? wouldn't it just be 0?

  • @DanielBanda-oq7tm
    @DanielBanda-oq7tm Місяць тому

    Wow you are a magician thank you so much

  • @SalopianYoutube
    @SalopianYoutube 5 місяців тому

    Very useful, thank you

  • @taniahaque6899
    @taniahaque6899 10 місяців тому

    Thanks for the video ❤

  • @samuelbardi454
    @samuelbardi454 2 роки тому +1

    Wow! This tutor na boss. You look Nigerian tho. I loved your teaching. Imma go check the others. You handwriting and smile is just ✨✨✨✨✨

  • @diegorivera6764
    @diegorivera6764 Рік тому

    I love you man

  • @jesuisravi
    @jesuisravi Рік тому +1

    Good job.

  • @navaneethkp4115
    @navaneethkp4115 2 роки тому +1

    Thank you❣

  • @deusmwandila5415
    @deusmwandila5415 5 місяців тому

    Classic ❤

  • @ajikeruth2789
    @ajikeruth2789 Рік тому

    I didn't get

  • @prafuldevbrilliant2640
    @prafuldevbrilliant2640 11 місяців тому

    Nice sir

  • @Macharia_Githinji
    @Macharia_Githinji Рік тому

    GREAT 👌

  • @makochiengshaddy5614
    @makochiengshaddy5614 9 місяців тому

    👍

  • @boipelogailsetlhabi61
    @boipelogailsetlhabi61 Рік тому +1

    love everything about you, your style, teaching....🤩

  • @farhanabagam422
    @farhanabagam422 2 роки тому +1

    Hi sir , explain tan x also

    • @PrimeNewtons
      @PrimeNewtons  2 роки тому

      As soon as I find time , I will do a video.

  • @lynkhay
    @lynkhay 4 місяці тому

    You have a gift for explaining things in a way that's easy to understand, and I'm so grateful for that. Thank you for your help 🙏🙏

  • @Maneesha-g4k
    @Maneesha-g4k 9 місяців тому

    Hey sir im from India🇮🇳 and i loved ur handwriting a lot!
    Thank you for this video sir😊

  • @vincentsakala3935
    @vincentsakala3935 Рік тому

    This is great.. have been helped here 🙏🙏🙏. Thank you alot

  • @techlokka4973
    @techlokka4973 7 місяців тому

    Im from Sri Lanka , nice explanation

  • @sujanyadav2010
    @sujanyadav2010 Рік тому

    really great sir
    sir will you please do the derivative of cos^-1 x by 1st principle

    • @PrimeNewtons
      @PrimeNewtons  Рік тому

      Do you mean 1/cos(x) or arccos(x)?

    • @sujanyadav2010
      @sujanyadav2010 Рік тому

      @@PrimeNewtons yes sir but sir i need immeditaly

    • @PrimeNewtons
      @PrimeNewtons  Рік тому

      They are not the same. Tell me which one

    • @sujanyadav2010
      @sujanyadav2010 Рік тому

      arccos(x)

    • @PrimeNewtons
      @PrimeNewtons  Рік тому

      I dont know arccos(x). Only 1/cos(x) I know. I'll do a video later tomorrow.