Derivatives of Trigonometric Functions - Product Rule Quotient & Chain Rule - Calculus Tutorial

This calculus video tutorial explains how to find the derivative of trigonometric functions such as sinx, cosx, tanx, secx, cscx, and cotx. It contain examples and practice problems involving the use of the product rule, quotient rule, and chain rule.
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-tuto...
Full-Length Videos and Worksheets:
/ collections
Trigonometry Formula Sheet:
bit.ly/47diggI
Derivatives - Formula Sheet:
bit.ly/4dThzf1

[@TheOrganicChemistryTutor]

Derivatives - Formula Sheet: bit.ly/4dThzf1 Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

[@rolamatarsa]

this guy has no clue he has been educating generations till now

[@miguelconfesor4701]

no, he has a clue because he can read comments

[@neilmalintala8318]

I mean that's kind of the reason why his channel exist... to educate people

[@aleph4425]

He sells merch so I’m pretty sure he’s aware

[@rolamatarsa]

its not literal 😭 i meant he educates soo many that he mightve lost count

[@waqs8708]

@@rolamatarsa shoulda reformulated it better

[@prabhanjanbag5738]

Your patient way of teaching step by step without skipping any step is remarkable, even to the new learner or slow learner. You leave no stone unturned to make the learner understand. Thanks of uploading the simple but most effective educational videos.

[@thedealership5300]

I didn't go to class for a whole week, I was confused and I thought I was going to fail the test. your video made everything clear and I was able to catch up what I was missing. Thanks soooo much

[@kingtv6241]

i still failed

[@Cxhxrt]

nerd

[@yunotachibana5991]

@@kingtv6241 you probably didnt go hard enough

[@karbonkillershorts8551]

Did you pass?

[@edeights5748]

Haven’t gone to class in 3 weeks hopefully watching this the night before my midterm will help😂

[@Diviner-ip2pq]

I love how calm he's when explaining things, it's so clear that I do not have a hard time getting the concepts

[@RowdyRelics]

I love how well everything is explained and the "have a nice day" at the end of it. It makes calculus feel less terrifying.

[@MalikHarisAbdullahAwan]

calculus is trrifying,just by name

[@sibongilekhathi7867]

🤣

[@Riptide900]

This isn't only calculus. It is like a mix between trigonometry and calculus

[@sadprose651]

i like how he speaks, its so calm and doesn’t overwhelm me even though i find long conversations / hearing someone speak for a long time really overwhelming. i feel like i could listen to him speak forever

[@lightonmonday5086]

A comment of proof that I was once your student 👩‍🎓

[@jessmett5]

Its been a minute for this video, but I need to drop a comment and say thank you so much for posting videos of transcendental material. It has truly helped me out a lot to memorize and practice each rule. Someday I hope to return the favor with a donation!

[@itsmesofia8312]

the most soothing and well-explained math and chemistry tutorials ever. You've been helping since high school! I'm an ece student now btw! Thank you!

[@itsthreesevenmusic]

Taught me something in 35 minutes when my teacher couldn’t teach me in a week.

[@wlfynh4730]

Hahaha same though

[@romie5040]

EXACTLY HE JUST MADE THE CHAIN RULE SO EASY AND MY TEACHER MADE IT LOOK LIKE QUANTUM ROCKET PHYSICS

[@setsunaPH]

demmmnn hahhahaahaha

[@diegojoaquin5258]

Prove it. Im sick of these comments tbh

[@anthonyg299]

@@diegojoaquin5258 he got nothing to prove to you lmao, and what the fuck you doing here?

[@karelleramones8129]

You're really making our worst subject into best. Thank you.

[@lynx.synthesizer]

Thank you so much for the help. Why do we even go to school when we could just watch your videos!😂

[@azzanporter4377]

wetgravy honestly

[@jedidiahehimah2674]

Me who watched this while preparing for an online exam when i didn't attend the class even once

[@samlal3618]

@@MegaCarzs and stressful 😭😭😔😔

[@PileOTaters]

Ive watched 3 hours of this guys videos and it made up id say 8 hours of lectures by my incompetent professor

[@NiTeLightYears]

Because this channel doesn't teaches all the subject that school has.

[@maxsijude6264]

not to slow and not too fast I like it .

[@WorstScenarios]

Perfectly balanced, as all things should be.

[@singlefather9796]

@@XxMachuRicuxX tha t waht ur mome sayd on me yeterday

[@clovisellwood8239]

This tutoral helped me a lot on my exam!! THANK YOU SO MUCH!! I'm gonna subscribe.

[@ibyahmed3550]

Legend, taught the chain and quotent rules with trigonometric differentials in a 20 min vid legend

[@siyabongangidi1957]

My healer!!!....as usual and always...I salute!!... may God bless you.You make our lives easier without a lecture....you're my everything

[@Neek0tine]

Man, I regret taking math for granted ever since junior high. Now that I'm on college where math is applied realistically, I had to study everything from the start. I just wanna say, you change people's lives. Thank you.

[@zy353]

You should start your own online class, you're a lifesaver

[@samlal3618]

Yes 🙌🏼 I would dump my school and go to his 😂

[@Extradub32p]

Isn't this what he's doing?

[@norfadiapat2946]

my instructor in Cal literally taught this derivative for months but i didn't understand anything and this 35 mins vid literally made me like Calculus a little more🏃

[@audraelynnegrimmelhaussen8808]

My uncle, an Engineer, thought it would be nice to bond during quarantine by reviewing this. I still have trauma from my highschool Trig teacher.

[@ruth8481]

His just the best

[@unzamathematicstutormwanaumo]

What a good teacher!every concept you give is difficult to forget.You are really original.l salute you.

[@humanistsoldier8808]

My dear brother u will not imagine how much u r helping me. Ur teaching methods are second to none

[@kengabarakawyclif2394]

You're really helping millions of us ..be blessed

[@jastinloydsalaya2064]

a video 6yrs ago and still helpful

[@oluwayanmifevictoria3086]

Thank you so much for these videos. They are so helpful. And I like that you bring in little tricks. God bless you! Please do not stop doing what you do!

[@brandonteh9403]

that helped me a lot when i was struggling with trigonometric functions. Thanks!!!!

[@TheSomeone77177]

its insane how straightforward this is. seriously profs need to take notes from this guy...

[@jeremiahmontealegre6138]

3 weeks of not understanding the derivative of trigo lesson by my teacher, but just in 30 mins damn...

[@cassied9327]

Got sick and didn’t have the energy to really study for a quiz by working problems by hand. Having done my homework and such, this was perfect for a quick review that I could work along with mentally and save my energy for the quiz and rest of class. Thank you

[@simonberihu4966]

yoo you are best teacher ever ,now i dont even attend to class that much b/c i know you will explian to me everything keep it up men, you are inspiring alot of student to be active on their studying and stuff all around the world

[@serenarolloh4819]

Thank you so much! I can't explain how much you've helped me in Calculus. I'm even excited to do my exam😭 crazy. Thanks a lot!

[@zainabhubail3754]

The most amazing tutor ever , thanks for sharing every single video 🙏🏼

[@beanenita9840]

Thank you for helping us to learn mathematics in an easy and more understandable way 😘💖😊

[@SamwelRicky]

This guy is absolutely awesome in this sector😊

[@spongebob3649]

Heyyyy

[@velvaka]

This blessed man has been there since in 7th grade and now helping in uni

[@chadjensenster]

I like to make a little chart -sinx cosx 1/sinx -1/sinx cosx/sinx 1/cosx 1/cosx sinx/cosx That makes it super easy to remember the derivatives of trig functions. remember the top (-sin cos) then just remember the other lines as 1 over sin, -1 over sin and cos over sin. and that tells you all the derivatives with sin on the bottom. (sin^2 x = cot x, csc x = -csc x cot x and cot x = -csc^2 x). And the same goes for the functions with cos on the bottom as you can see.

[@mehirbanda7156]

i dont even what to say because you are extrremly smart

[@miguelconfesor4701]

he's not extremely smart, but rather he is an extremely good tutor. not every smart people knows how to teach.

[@datzsojahna8925]

this waa great thank you. idk why teachers can't teach like this. my life would be soo much easier

[@johnvincentrivera1864]

Explanations are really comprehensive for me. Thanks for creating this video.

[@swenpai]

You might just be the reason I'll pass my exam, thanks a lot.

[@mwasechibolya9259]

Thee organic tutor never fails. He's done it again. ❤️

[@pephi8102]

I'm so glad that I am able to understand maths in English, there is no German channel that explains Calculus as well as this one.

[@pephi8102]

Had to come back and say holy shit it's not only maths, ALL of your videos are amazing!!

[@messileo919]

14:44 you can simplify it down because 1-sec^2 is same as -tan^2

[@plantlover69]

Thank you, my teacher doesnt explain anything simple like this and just jumps straight into the complex stuff

[@jezraelnacion9626]

Omg you're really a savior, I survive my quizzes and exam because of you. In fact , I've been watching your videos that are connected to calculus.Thank you so much ❤️

[@jezraelnacion9626]

Ps: I will survive the exam actually HAHA coz it on Monday pa..

[@rossjanis8640]

Your a god sent. Paying hella cash just to stare at my instructor like an idiot for hours a week meanwhile a 35 min video breaks it down perfectly

[@Sunday265.]

This guy has been so helpful with calculus and with chemistry

[@oudomchan8362]

I can learn a lot, It's better than my Math class at school. you help me a lot. I can understand about 90%. That's very good.

[@fakenewz4434]

This saved me. I owe you my life good sir!

[@rofiqel6226]

How is it that you are the only math/science/w/e you might teach youtuber that gets it right? Do the other youtubers not know that all this is taught and mastered through practice? I love your videos, thakns for making a video on literally everything I ever encounter in school.

[@faricidris8167]

Man..I just love you I have been watching your videos since 3 years .. Thank you so much 💓

[@idkbro5740]

your videos are a life savior in college

[@rejoicechipepera4627]

Best tutor ever!!!!wooooooooooww thanks a lot

[@TheOrganicChemistryTutor]

You're welcome

[@zach7559]

@@TheOrganicChemistryTutor You're welcome

[@shehzadlatif3970]

@@zach7559 you are welcome.

[@abhigarg1292]

@@TheOrganicChemistryTutor you are welcome

[@OMARGABR91]

The best teacher i have ever seen

[@mustaphanaseer4144]

I just wrote my organic chemistry exams and it was fun thanks to the best tutor

[@athanathiathi8307]

this tutorial helped me a lot, i missed the first lecture of this topic and now it feels like i didn't...... i'm gonna subscribe

[@witchofthetropics3452]

Literally on the day of the test he has helped an entire class who has unfortunately ended with the most difficult professor

[@beneveneer]

Hi! Do you mind explaining how the derivative of sinx became cosx, etc.? Thank you! I hope you have a good day.

[@GS_geostorm]

Plug it into f(x+h)-f(x)/h I think idk

[@d_j_snr4331]

the best mathematics channel l has seen so far.

[@K-KAY123]

U're my secret MENTOR indeed ❤️🤩

[@trentrenchu]

watching as a freshman civil engineering student taking Calculus 1 for Engineers, trigonometry isn't really my thing, and now I memorized its derivatives with these videos. salute! 🫡

[@SaltyArrow]

this video made me open my third eye and realigned my chakra, thank you

[@mzakeee]

It helped me in understanding derivatives.

[@YasminVitoria-yr9tg]

Thank you so much!!! I am learning more with you than my teacher ... 🇧🇷❤

[@leonardoboran5917]

The best maths help video on the internet!

[@kentalbertlucob5032]

Damn. I learned a lot! I'm now confident that I can pass the upcoming exam

[@Freefranze]

I love The Organic Chenistry Tutor!

[@markusanga-ri5wv]

Sir, you are actually a wonderful teacher. I have learnt so much from you.

[@HarisKhan-qy3sy]

Learned a great deal about this chapter. Thanks a lot man.

[@hannahtanguihan8123]

calculus made easy. lol very glad that your channel exists

[@captainnemo3776]

god bless tbis guy, he helped my education

[@clariceibeawuchi2084]

Here in 2024 and your videos just made me love and understand calculus. Thank you

[@Cairadee]

I love you so much!!!! At the beginning of the day I didn't know anything about Trig functions and their derivatives, now I understand everything :) Now I need to learn trig identities

[@hagoraabdelaleem4651]

Hi 🌸nice to know you 😊 I'm Ge ...and you ??! 🌸

[@hamzakhan-jq9rk]

This guy man. No words

Derivatives is very important in Calculus. Great Class.

[@noelilan3194]

Your voice puts me to sleep instead of driving my brain to power.

[@elsiegama1474]

thanks for the vds. I swear you are the best mat tutor I have ever come across, you have helped me a Lot and if possible I could subscribe to your channel a million times to show my gratitude. thank you so much once again.

[@ela4554]

Math, phys, chem.... I listen this all lessons from he you are the mannn mcnkdn

[@tobankaugusareeya5696]

Thank u man.... It was really helpful..... I would really like to open a gofundme page to help u the way u have helped us....

[@angyen__]

l am always watching your video.very helpful and thank u so much.

[@sierrasmall1002]

this guy teaches better than my calc prof

[@ahnafkhan8115]

What a powerful teacher!

[@faustbenj2968]

*this helped me a lot throughout quarantine*

[@jloo0409]

This is life saving TT thank you so much I was struggling so much with this particular topic, now I understood it easily thanks to you

[@MrLaxr-op4be]

Helped A lot to clear my concept about differentiation. Thank you !

[@calaguanmellvincentbael6952]

Thank so much my clouded mind was cleared thanks to this video.

[@debrahm9536]

This guy's deserves a pay✌️✌️💕

[@hannahhochhalter9483]

thank goodness for this video, it's the only thing that has actually helped me understand calculus

[@endangeredbacteria404]

you're being really helpful at my class 11

[@nairobian8]

Thank you Whoever you are.

[@JedidahChelangat-d7p]

I wanna see this guy face . Such a great teacher ❤

[@avaykarkidoli]

His teaching makes me want to keep solving math problems.

[@jimjuma1795]

what's stopping you?

[@avaykarkidoli]

@@jimjuma1795 and then the video ends😂😂

[@IreneLetoluo]

Thank you so much I'm watching this 2023 and it has help alot🎉🎉

[@ijeomakingsley507]

God bless Mr.JG he has really helped many

[@vctoriaotumdi9991]

Thanks soooooo much. You are an exceptional teacher. God bless you

[@vineethg3293]

I don't comment on videos, but thank you, you are the best and a life saver

[@geoinformaticszone]

The best tutor. Thanks God bless

[@ntombimatimba678]

I wish I knew about him when I was still in high school. I would've passed my maths with good marks.

[@mohammedalbarjas932]

Man you're the best. I appreciate you so damn MUCH!!!