Derivative of sin(x) from First Principles

I used the definition of derivative to show that d/dx (sin x) = cos x

[@likhomava600]

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

[@JoeTaxpayer]

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.

[@sairamk2799]

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

[@georgebigouch330]

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

[@jethrobo3581]

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

[@andernogamer8625]

Love from India 🗿🕶️

[@saniulazam5715]

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

[@belalmenisy5859]

shouldve came here before my a level maths edexcel exam

[@samwelkariuki3114]

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

[@Great_dreamer]

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

[@user-bi1ky8se8q]

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

[@Tawny3991]

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!

[@yogex_demon4390]

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

[@rayraro5168]

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

[@Antelope2000]

Lovely and engaging explanation.

[@tyrell1505]

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

[@user-yu1eb5xo6n]

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

[@harshsrivastava3305]

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

[@Macharia_Githinji]

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

[@MirriamKalesaBlessed-rf4gh]

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

[@user-yp1zp7ud2l]

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

[@esromaron2057]

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

[@M33lvyn]

woowww... i understood perfectly well sir

[@kerrynewman1221]

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

[@PrimeNewtons]

Thank you.

[@fridayross2579]

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

[@rafuuuu3950]

Amazing!!! Watching from Philippines 🎉🎉

[@dilchiramarak5515]

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

[@jena2379]

vera level sir.....

[@Samarrr04]

Loved this video, huge thumbs up

[@sergiolucas38]

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

[@PrimeNewtons]

Thank you for the kind words.

[@chhayasharma8479]

thank you sir helped me a lot 👌

[@fonkenmunprincelly1422]

Thanks alot sir you made me understand better

[@VedanthRaj789]

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

[@chembekunda8111]

Where have you been 😭 this is well put

[@F_3020]

最高ですね😀！！

[@shanecurrie4999]

Such a perfect video

[@b_dog_piano]

Thanks a million!

[@renesperb]

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.

[@PrimeNewtons]

Thank you 😊

[@Blueking_Bg]

Thank you Sir

[@EmmanuelDivine-qm9em]

Awesome ❤

[@sneedle252]

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.

[@PrimeNewtons]

Thanks. I will

[@punditgi]

Hurrah for Prime Newtons! No stone left unturned! 👍

[@dougaugustine4075]

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

[@motivational-site]

Thanks!

[@petergithinji220]

You must be a professor ❤

[@PeaceOnosohwo-ys7kb]

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

[@surendrakverma555]

Good 👍 Thanks

[@samwelkariuki3114]

Actually your handwriting is 👍👍👍

[@PrimeNewtons]

Thank you!

[@ezekielokoth]

Keep it up sir!

[@PrimeNewtons]

Thank you, I will

[@aashmazayn819]

Thanx u some much .

[@kabir_mash]

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

[@PrimeNewtons]

Funny 😁

[@Greatness829]

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

[@PrimeNewtons]

Thank you.

[@Greatness829]

@@PrimeNewtons do you do online tutoring

[@PrimeNewtons]

I could if the conditions are right. Please email me ([e-mail])

[@Greatness829]

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

[@RoshaniKalasua-bs7if]

Awesome

[@omojuwainioluwa5657]

👍

[@Science_worm]

Can you solve for -2sinx

[@MurshidIslam]

8:19 Those two limits can be found on his previous video: kzbin.info/www/bejne/jouQnWtmn9aMa7c

[@jf3518]

The video is now private

[@boracelikturk369]

saved my life

[@lawrencemore4752]

❤

[@mymenare]

Nice

[@frimi8593]

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

[@PrimeNewtons]

No, they weren't .

[@herkulepoirot9314]

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

[@iosifpuha6114]

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

[@KelvinMutua-hm4wq]

Thanks sir 😂

[@M33lvyn]

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

[@PrimeNewtons]

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

[@M33lvyn]

@@PrimeNewtons lol My maths lecturer 💔😅

[@evwerenisaacoghenenyerhovw232]

Professor

[@awholevibestv6739]

JUST ADDED A Sub ,,,,,zambia

[@_.MoneyMastery._]

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

[@vedanshvinodh4356]

god

[@mk-jl3zd]

Can you write smaller!!!?

[@PrimeNewtons]

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

[@fonkenmunprincelly4079]

Your the best

[@robertveith6383]

* You're = You are

[@chama888]

Bro never hesitate Bro can see John Cena Bro did 9/11 and lived Bro gives homework to his teacher Bro tells his barber he didn't like the cut Bro eat cereals with water Bro knows coca cola's secret Bro tells his parents to clean his room Bro tells god his sins Bro tells his watch the hour Bro gives knowledge to books Bro drinks soup with fork Bro traps the dust in the air Bro snatches phone from parents and tell them to sleep Bro tells earth to stop rotating Bro knows how to intersect 2 parallel lines Bro receives tax from government Bro suspended his school principal Bro tells god to revive him after death Bro calls 100 to offer them help Bro has Google's search history Bro gives vitamin D to sun Bro tells website to accept his cookies Bro knows 4th law of motion Bro knows 110th element Bro knows what Amber Heard Bro United the states Bro cuts his barber's hair Bro wears sunglasses to protect the sun Bro knows who asked Bro receives tips from the waiter Google asks bro for the direction

[@chandamwila1754]

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

[@reg-net8956]

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]

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