Chain Rule for Derivatives & General Power Rule Calculus 1 AB

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  • เผยแพร่เมื่อ 21 ธ.ค. 2024

ความคิดเห็น • 104

  • @profrobbob
    @profrobbob  12 ปีที่แล้ว +1

    Set small goals for yourself and celebrate when you achieve them. I used to procrastinate a lot finishing high school and starting college and that added to my stress tremendously. If I had said to myself September 2011 that I would have to make 370 videos by today I would have never started this channel. I still feel overwhelmed at times working full time and doing TH-cam. Time management is everything and incremental goals. I hope you do great in your studying...and life:)

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว +1

    Glad I can continue to help:) And thank you for watching and liking another one of my videos!

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว +1

    Thank you...brings a whole new meaning to "break it down!" huh?!
    I hope you will keep choosing my channel for extra help...and please share it with your friends:D...I appreciate the support!

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว

    You are so welcome…and THANK YOU for watching, liking and subscribing! Don't forget to tell all your friends to do the same:)

  • @Incognit0777
    @Incognit0777 5 ปีที่แล้ว +3

    May I just say... that handwriting is simply magnificent...

    • @profrobbob
      @profrobbob  5 ปีที่แล้ว

      Yes you may...and Thank you!
      If you need a break from math I also have some cursive videos:)

  • @jamesonschwartz4458
    @jamesonschwartz4458 9 ปีที่แล้ว +2

    Mr. Tarrou is amazing at explaining the intuition and the calculation that is mathematics.
    If you ever wonder why teachers want you to show your work or your steps, it's because math isn't entirely about the answers but about learning to think logically and abstract. Because of Tarrou and my own interests in math I have enjoyed looking at the world more mathematically

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      Jameson Schwartz thanks you for that insightful comment:)

  • @profrobbob
    @profrobbob  12 ปีที่แล้ว

    you are very welcome!!...and thank you for "liking" my video :))

  • @rahmetr
    @rahmetr 9 ปีที่แล้ว +7

    Nice lesson, I am going to tell my teacher about you so that he can learn how to first do the math himself and second learn how to teach his new knowledge in a way that we can actually understand. THANK YOU. Keep it up!!!

  • @profrobbob
    @profrobbob  12 ปีที่แล้ว

    Thank you for watching and liking my videos...please share your experience with others:D

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว

    Why THANK YOU Drew!...Thrilled to be your go-to TH-cam math teacher too:)
    My goal is to always keep these videos FREE but I need the support of viewers like yourself...
    In order to continue to groW it is very important to remind viewers to like and SUBSCRIBE and spread the word to others when they find a channel that is helpful. Gaming, beauty and music all have millions of subscribers & I'm sure I can speak for other teachers...we hope to see the same numbers for educational channels soon!!!

  • @mutumambui
    @mutumambui 10 ปีที่แล้ว +14

    all your videos have made me and my friends better students,,,much appreciation from Kenya

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว +9

      What a wonderful compliment Brian Mbui !
      Students like you are the reason why we continue to work so hard to groW this channel...so we can help students all over the world find the passion for math! THANK you and your friends for being such great students and taking the time to watch and learn from my channel...this is why I love teaching:)
      Much appreciation from Florida!

  • @darlinap5437
    @darlinap5437 10 ปีที่แล้ว +3

    That sign off is legendary~
    Thank you so much for making math easier for me, you're awesome.

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว +1

      BAM!!!...you're welcome and thanks for choosing my channel to learn from and subscribe to and please share it with all your friends too:D

  • @profrobbob
    @profrobbob  12 ปีที่แล้ว

    I appreciate you watching and the very nice comment:D Please help me by spreading the word about my math channel and I hope you do great in your class!!!

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว

    If y is a function of x then dy/dx is also a function of x, called the first derivative of the function y.
    d/dx is an "operator" which means it is something that you apply to functions to get new functions. When you apply the operator d/dx to fhe function y you get the function dy/dx, the function which is the first derivative of y.

  • @TheBigHoss13
    @TheBigHoss13 11 ปีที่แล้ว

    You Sir are the beauty of the internet!
    You are my go to for all my math problems!
    Thank you so much for all the free videos. I really hope you make money from this somehow.

  • @profrobbob
    @profrobbob  12 ปีที่แล้ว

    Thanks for choosing my channel to get that extra help from:) And thanks for the offer, but I have the "best wife ever" and we just celebrated our 23rd year together (yes, I was just a baby when we met..lol)
    I hope you continue to watch and please share my channel with your friends:D

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว

    With respect to x means that x is the changing variable you are trying to find the rate of change (or dy/dx) for.

  • @SFUManiac
    @SFUManiac 10 ปีที่แล้ว +2

    Before I watched the video I was hesitant, but not anymore! Thanks for the clarification!

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว +1

      BAM!!!
      You're welcome...glad I could clear that up for you and thanks for watching #ProfRobBob Please spread the word and remind everyone to SUBSCRIBE to support these FREE educational channels:D

  • @emilyabell9023
    @emilyabell9023 10 ปีที่แล้ว +3

    I missed this lesson at school but now I feel prepared for my quiz tomorrow. Thank you :)

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว +2

      ...thanks for watching more videos...now go pass that quiz like BAM!!!

  • @janicemartyres4689
    @janicemartyres4689 9 ปีที่แล้ว +1

    Thank you, Professor Tarrou!!! This helped SOOO much. Chain rules used to make me cry but now they are a piece of cake!!

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      That's great news when math can relate to dessert!!!!
      Thanks for all the hard work and studying you put in Janice Martyres I wish you were one of my students:)

    • @srinathyvsrinathyv1803
      @srinathyvsrinathyv1803 6 ปีที่แล้ว

      call this no 9964163792 i will teaching u

  • @jackozzy3433
    @jackozzy3433 10 ปีที่แล้ว +1

    You are a true legend ,, I will tell all my college friends about you and your legendary channel.

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว +1

      AWESOME!!! (not sure about the legendary part yet) but we appreciate all the support and sharing we can get...my wife and I work very hard to groW this channel and to keep it FREE for everyone.
      SUBSCRIBE, like, share, tweet, like on Facebook, share with others, it all helps with the channel growth and our dream to someday have over a million subscribers too!

  • @profrobbob
    @profrobbob  12 ปีที่แล้ว

    :D Thanks for watching!

  • @profrobbob
    @profrobbob  10 ปีที่แล้ว +12

    Tarrou's Calculus Lesson for 9/10

    • @leozhang1340
      @leozhang1340 9 ปีที่แล้ว

      Mr. Tarrou, I didn't take calculus yet but how do you know the derivative of a function just by eyeballing it? when I looked at your derivative definition video, you went through solving the derivative with a long formula(x+h, I think).

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว +1

      After torturing my students with how to find the derivative using the definition of a derivative, mostly to drive home the idea the derivative is slope, we start learning derivative formulas to speed up the process. th-cam.com/video/Jnqe2_jt8Ac/w-d-xo.html

    • @leozhang1340
      @leozhang1340 9 ปีที่แล้ว

      ProfRobBob so there are quo, pro, chain, and power rules. are there add and subtract rules too? outta curiousity. if so, do u have videos on them? if not, then ignore this last question. thanks. i already subbed you

  • @edi9158
    @edi9158 9 ปีที่แล้ว +2

    I really like your videos! You make everything seem so easy! Thanks for helping students like me !

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      +Eduardo Charles you're welcome and THANK YOU for choosing my channel to study with and sub to, and taking the time to "thank" the teacher...please tell all your friends and classmates to watch and do the same to help these free educational channels grow and remain free:D

  • @hadeerrashad3497
    @hadeerrashad3497 7 ปีที่แล้ว +3

    Thank you so much professor for your helpful videos, I told all my friends to watch your videos because it’s really excellent, YOUR ARE THE BEST🙂.

    • @profrobbob
      @profrobbob  7 ปีที่แล้ว +1

      You're welcome...thanks for watching, complimenting and sharing...don't forget to sub and share with your teacher too:D

  • @nikhilbhalla8311
    @nikhilbhalla8311 9 ปีที่แล้ว

    Did have a video on how to solve by using increment calculus rule

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว

    THANKS Shane!

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว

    Woohooo....that's what I like to hear! Thanks for subscribing too:)

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว

    Because the derivative of the inside function...the base...is not just 1

  • @tronixdavis3366
    @tronixdavis3366 10 ปีที่แล้ว +1

    this video had just solved the misconceptions that I had and now Im sorted, Thanx ProfRob

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      BAM!!! tronix Davis and thank you for watching, learning and subbing too!

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว

    Now that you found me and subscribed you can watch a lesson anytime you feel like learning some more math:) BAM!!!

  • @ishravlogs5382
    @ishravlogs5382 7 ปีที่แล้ว +2

    Love your teaching sir. You have helped me so much :)

    • @profrobbob
      @profrobbob  7 ปีที่แล้ว +1

      Thanks for taking the time to study and choose this channel to learn from...BAM!!!
      Please sub and share too:D

  • @anixsharma7237
    @anixsharma7237 9 ปีที่แล้ว +1

    this is awesome... i was confused in Chain rule earlier.. but now I'm perfect... :D

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      +Anix Sharma BAM!!!
      Thanks for watching, learning and liking...please sub and share too:D

    • @anixsharma7237
      @anixsharma7237 9 ปีที่แล้ว +1

      for sure.. ProfRobBob.. :)

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      +Anix Sharma :)

  • @flyingemirate
    @flyingemirate 11 ปีที่แล้ว

    Thanks a lot for your videos, it made me very prepared for midterms, keep on the good work :)

    • @profrobbob
      @profrobbob  11 ปีที่แล้ว

      You're welcome!
      And I will keep posting Nel...and you keep up those awesome study habits and continue to watch and tell others about my channel and help me groW:)

  • @GarryBurgess
    @GarryBurgess 2 ปีที่แล้ว

    Wow, 47 years later, I can still follow this.

  • @profrobbob
    @profrobbob  12 ปีที่แล้ว

    Discovery is can be a very effective way to learn material and as teachers we are encouraged to more of this method of teaching. I don't especially like this way of teaching. After the lecture if there are concepts that were not thoroughly understood, some students get to reinforce their own learning by teaching and helping their fellow students. Teaching can also be very effective way of learning. And of course on a video, I must lecture because there is no interaction...besides comments:)

  • @Incognit0777
    @Incognit0777 5 ปีที่แล้ว

    Prof. Rob Bob, could you explain in simple terms why there are technically 2 functions when you have a polynomial to an nth power? I can't really understand this. At first I thought that the power rule would apply to the whole polynomial as well.

  • @charlesamofordjuoh9940
    @charlesamofordjuoh9940 9 ปีที่แล้ว

    In your first example can you foil both products then take the derivative of the polynomial?

  • @sohoyankee66
    @sohoyankee66 10 ปีที่แล้ว +4

    You crack me up with your "bam!". Ha ha. Seriously though, thank you for your videos. They are so helpful in keeping my head above water in my calc class.

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว +2

      You're welcome Soho Yankee thanks for watching and don't forget to Like, SUBSCRIBE and share it with everyone...BAM!!!

  • @MultiManux
    @MultiManux 12 ปีที่แล้ว

    I love all your videos!

  • @jasoncarpenter4979
    @jasoncarpenter4979 9 ปีที่แล้ว +1

    Awsome prof. Come to the uni of Cape Town, seriously.

  • @GutsOfAMan
    @GutsOfAMan 10 ปีที่แล้ว +1

    LOVE IT ALL THE WAY FROM SINGAPORE

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      THANKS all the way from FLORIDA for watching and subbing GutsOfAMan !
      "Spread the word" :D

  • @justforyouenjoi
    @justforyouenjoi 6 ปีที่แล้ว +1

    thanks Mr. Tarrou!

    • @profrobbob
      @profrobbob  6 ปีที่แล้ว

      You're welcome...thanks for watching!

  • @sabithasasikumar239
    @sabithasasikumar239 11 ปีที่แล้ว

    Whats the difference between dy/dx and d/dx?

  • @Nico55RS
    @Nico55RS 11 ปีที่แล้ว

    Fantastic! Extremely helpful!

  • @dmanola7able
    @dmanola7able 7 ปีที่แล้ว

    for the example: square root of 4-t.....do you have to take the derivative of the inside (4-t) which would be -1 which would also cause the final answer to be negative?? just need some clarity, some of these chain rule problems are tricky

    • @profrobbob
      @profrobbob  7 ปีที่แล้ว +1

      Yes, that is why there are red -1's all over that example because I forgot to do that while talking through the example!!! They can be tricky, yes:)

  • @sabithasasikumar239
    @sabithasasikumar239 11 ปีที่แล้ว

    What does it mean when you say "with respect to x?"

  • @dambaz42
    @dambaz42 10 ปีที่แล้ว

    got an 87 on my math Exam. Well done!

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      BAM!!! Abdul Dbz nice work!

  • @Kyle_da_athlete
    @Kyle_da_athlete 8 ปีที่แล้ว

    thanks dudeee helped me a lot especially the last example!!!!

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว

      +TheGeekSoup you're welcome and thanks for watching, liking and subbing too:)

  • @ਭਾਈਸਤਨਾਮਸਿੰਘਰਾਜਪੁਰਾਵਾਲੇ

    Prof rob bob u r super.

    • @profrobbob
      @profrobbob  6 ปีที่แล้ว

      Thanks for watching!

  • @xblceriyvolk
    @xblceriyvolk 11 ปีที่แล้ว

    why cant you leave it as 1/2(4-t)^-1/2? why multiply it by u?

  • @jinkato5412
    @jinkato5412 11 ปีที่แล้ว

    Thank you so much! Super helpful.

  • @MrSpander
    @MrSpander 11 ปีที่แล้ว

    as usual, you are awesome!

  • @karanpatel5968
    @karanpatel5968 11 ปีที่แล้ว +1

    i wish you would replace my calc teacher... this is the only way i understand what im suppose to do

  • @jalene150
    @jalene150 12 ปีที่แล้ว

    I really really wish you were my calculus teacher :/ my teacher makes us do group work together to figure out problems before actually teaching us how to do them. Then he have the groups "attempt" to explain there reasoning. We then have to answer each and every question in perfect grammatical order or he marks us. I didn't show work for one step on a problem and he took off most of the points even though I ha the right answer :(

  • @sabithasasikumar239
    @sabithasasikumar239 11 ปีที่แล้ว

    hmmm..so that means if its du/dx, u is a function of x...

  • @troybernal5085
    @troybernal5085 7 ปีที่แล้ว +1

    You're the best!!!

    • @profrobbob
      @profrobbob  7 ปีที่แล้ว

      Thanks...please sub and share this free math resource with everyone:D

  • @BlairDavidson1981
    @BlairDavidson1981 10 ปีที่แล้ว

    Bayam I love it man.

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      THANKS for watching!

  • @willbarker7324
    @willbarker7324 11 ปีที่แล้ว

    thank you very much for this video!

  • @peace.9850
    @peace.9850 9 ปีที่แล้ว +1

    thanks dear teacher

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      hamdard zabuli you're welcome, as usual:)

  • @ch0vits
    @ch0vits 10 ปีที่แล้ว

    Thanks sir for sharing!

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      ...does that mean you figured out your previous question yourself?! :)

    • @ch0vits
      @ch0vits 10 ปีที่แล้ว

      BAM! :D

  • @sabithasasikumar239
    @sabithasasikumar239 11 ปีที่แล้ว

    now that makes sense! Thanks!

  • @BillyBob_McSanchez
    @BillyBob_McSanchez 8 ปีที่แล้ว

    Hey, I'm new to your videos. I was going to ask if you respond to personal messages/comments? The reason I ask is because I have a couple math questions that I'm stuck on

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว

      I (Mrs Tarrou) reply to most of the general comments but Mr Tarrou teaches full time and is currently working on closed captioning his lessons, with any spare time he has, which sadly leaves no time left for math questions on line...so sorry:( Most teachers at his school offer after school help, you might start there:)

  • @taingo3771
    @taingo3771 7 ปีที่แล้ว +1

    Thank you for your video (y)

    • @profrobbob
      @profrobbob  7 ปีที่แล้ว

      thanks for liking and learning...please sub and share too:D

  • @jamesrockford2626
    @jamesrockford2626 10 ปีที่แล้ว

    sweet..........

    • @quinn79
      @quinn79 10 ปีที่แล้ว

      not sweet

  • @Sam-ir6iu
    @Sam-ir6iu 10 ปีที่แล้ว +2

    Go do your homework!

  • @nikhilbhalla8311
    @nikhilbhalla8311 9 ปีที่แล้ว

    Did have a video on how to solve by using increment calculus rule