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

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  • Опубліковано 17 жов 2024
  • 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 - Free Formula Sheet:
    bit.ly/4dThzf1
    _______________________________
    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 - Free Formula Sheet:
    bit.ly/47diggI

КОМЕНТАРІ • 700

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  10 місяців тому +20

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

  • @RowdyRelics
    @RowdyRelics 7 років тому +1001

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

  • @rolamatarsa
    @rolamatarsa 5 років тому +2481

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

    • @miguelconfesor4701
      @miguelconfesor4701 4 роки тому +123

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    • @neilmalintala8318
      @neilmalintala8318 4 роки тому +65

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

    • @aleph4425
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      He sells merch so I’m pretty sure he’s aware

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

    • @waqs8708
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  • @prabhanjanbag5738
    @prabhanjanbag5738 2 роки тому +145

    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
    @thedealership5300 5 років тому +443

    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
      @kingtv6241 2 роки тому +29

      i still failed

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      nerd

    • @yunotachibana5991
      @yunotachibana5991 Рік тому +6

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      Did you pass?

    • @edeights5748
      @edeights5748 11 місяців тому +2

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

  • @AkaanshVerma
    @AkaanshVerma 6 місяців тому +43

    this mans voice makes this easier to learn than some teacher yelling random facts at you and asking you to teach yourself at the end of class, thank you so much, be my teacher

  • @sadprose651
    @sadprose651 2 роки тому +7

    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

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  • @retinalhd
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    You are a lifesaver. I have my first calc exam tomorrow and I was completely lost with trig derivatives as it has been 10 years since I have last been in college. It is all clear to me now.

    • @v.johnson1293
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      omg did you graduate??? and in what?!

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      i'm 3 years late but i hope you graduated!!

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  • @jessmett5
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    @itsthreesevenmusic 5 років тому +572

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

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    • @romie5040
      @romie5040 5 років тому +46

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

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      wetgravy honestly

    • @jedidiahehimah2674
      @jedidiahehimah2674 3 роки тому

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

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    @norfadiapat2946 2 роки тому +2

    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🏃

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  • @CAModisha
    @CAModisha 6 місяців тому +1

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    @__bergo 4 роки тому +6

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    @oluwayanmifevictoria3086 6 місяців тому +1

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    @serenarolloh4819 Рік тому +3

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    • @JKMath
      @JKMath 2 роки тому

      Sorry to hear that, teaching yourself a subject can be difficult for an online class. If you ever have any questions for Calculus, feel free to stop by my channel and leave me a comment! I would be happy to help you. Additionally, I have a playlist of all my own calculus tutorials that may be able to help you! They are in chronological order as the topics would normally be covered in a typical calculus course. Have a great day! :)

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    @Not_A_Friend0777 4 роки тому +14

    1 hour before the quiz please god guide me

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    @ferminthejackofalltrades282 3 роки тому

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    a video 6yrs ago and still helpful

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    @idkbro5740 10 місяців тому +1

    your videos are a life savior in college

  • @trentrenchu
    @trentrenchu 10 місяців тому

    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! 🫡

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    @mustaphanaseer4144 10 місяців тому

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    @witchofthetropics3452 2 роки тому

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

  • @chadjensenster
    @chadjensenster 7 років тому +1

    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.

  • @pascuahartsont.7776
    @pascuahartsont.7776 4 роки тому +3

    I hope I pass my Calculus Quiz tomorrow, bless my soul.

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    @graceodey1003 2 роки тому +1

    Your method is very nice...Thanks alot you have no idea of how much you have helped me

  • @athanathiathi8307
    @athanathiathi8307 6 років тому +2

    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

  • @nigelmakela5990
    @nigelmakela5990 7 місяців тому

    Did I miss something** The result should be positive because there are 2 negatives. There is a negative from the cos to -sin derivative and there is a negative from the tan to -csc^2 derivative. He said that we could combine the "5", the "5x" and the "-" from the "-sin." He states that the result is -25x^4 times everything else. Shouldn't it be positive 25x^4?
    Great video, thank you for the math instruction. Some of the best videos out there.

  • @datzsojahna8925
    @datzsojahna8925 7 років тому +15

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

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    @mehirbanda7156 7 років тому +38

    i dont even what to say because you are extrremly smart

    • @miguelconfesor4701
      @miguelconfesor4701 4 роки тому +10

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

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  • @smartyc30
    @smartyc30 3 роки тому

    I was struggling with this but then I watched your video. I found out that when you use the product rule, or the quotient rule, there isn't that much simplifying you have to do. Cleared my headache up nicely😅

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    @Sunday265. 3 роки тому

    This guy has been so helpful with calculus and with chemistry

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  • @NoThrottle
    @NoThrottle 2 роки тому

    I grinded a project the night before this lesson was taught and I was dead asleep the whole class. Next week (now) is our examinations and I hope this video is enough to understand the topic.

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  • @nacht3894
    @nacht3894 2 роки тому +1

    Hi, Is the final answer is in order or it's okay that the answer is rumble?

  • @beneveneer
    @beneveneer 4 роки тому +7

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

    • @GS_geostorm
      @GS_geostorm 2 роки тому +1

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

  • @samit9789
    @samit9789 4 роки тому +1

    you made a grade 8 understand grade 12 stuff
    Hats off bro, hats off

  • @clarkninobajao5951
    @clarkninobajao5951 8 місяців тому

    I am very thankful to this guy because I got a high score of our calculus. :>

  • @d_j_snr4331
    @d_j_snr4331 Рік тому

    the best mathematics channel l has seen so far.

  • @Cairadee
    @Cairadee 6 років тому

    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

  • @jeremiahmontealegre6138
    @jeremiahmontealegre6138 5 років тому +5

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

  • @SaltyArrow
    @SaltyArrow 2 роки тому

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

  • @jeremygraham7976
    @jeremygraham7976 5 років тому

    The very last problem is solvable the same way he did the second to last problem. love this video!

  • @swenpai
    @swenpai 2 роки тому +1

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

  • @fakenewz4434
    @fakenewz4434 3 роки тому +1

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

  • @rofiqel6226
    @rofiqel6226 6 років тому

    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.