Related Rates - Simplified

Related Rates: Easy how to process with a boat being pulled into shore by a winch.
7 more related rates examples at Calcworkshop.com
1. Air being pumped into a balloon
2. Conical tanks
3. Ladder sliding down a wall
4. Pebble dropped in pond
5. Edges of cube expanding
6. Radar tracking station and airplane flight path
7. Cone at sand and gravel pit
For another example on Related Rates visit:
Calcworkshop.com
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Пікірлер: 79

  • @aaronnibbe4567
    @aaronnibbe45677 жыл бұрын

    thank you so much for uploading this lesson. this was taught in a much more understandable manner than how my teacher taught us.

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    Hey Aaron - thanks so much. Glad you enjoyed the vid. :)

  • @ramichoeb2743
    @ramichoeb27437 жыл бұрын

    My right ear thanks you

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    haha - you're welcome

  • @hoochiemamma2

    @hoochiemamma2

    6 жыл бұрын

    left*

  • @trishacastillo4829
    @trishacastillo48299 жыл бұрын

    You explained it very well! Thank you so much

  • @tunneltrance
    @tunneltrance7 жыл бұрын

    you wouldn't even believe it, I watched this video 45 minutes before my calculus 1 test and this was the exact word problem given! The numbers were different but this was exactly it. Thank you so much for this video it saved my life today!

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    WOW - Now that's amazing!! I'm so glad it helped you out!!

  • @AceofDlamonds
    @AceofDlamonds9 жыл бұрын

    I love your way of teaching and I didnt know your videos were only weeks old. The content dense teaching style helped me learn more about implicit differentiation from your three examples than my textbook + class in a week!@ Thank you.

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

    Hi V Ling, Thank you for your great feedback! :) I'm delighted that you enjoyed my teaching style. I'm always thrilled when I see my students get that 'aha' moment when I'm teaching. Yes, just filmed that a little over a month ago.

  • @Onnethox
    @Onnethox7 жыл бұрын

    The first problem is the exact one i have on my book! Thanks

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    :-)

  • @kristitruong97
    @kristitruong979 жыл бұрын

    You have saved my life!!! Thank you so much

  • @allanbarahona4657
    @allanbarahona46577 жыл бұрын

    THANKS SO MUCH!!!! BEST CALC TEACHER EVER

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    WOW - Thank You!!

  • @tedm.8572
    @tedm.85729 жыл бұрын

    I like how you reiterate concepts in different ways.

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

    Hi Theodore Morrison - thanks! I'm glad you enjoy my teaching style. :)

  • @zifengjiang5899
    @zifengjiang58997 жыл бұрын

    This really helped me thanks alot

  • @Farrukhw
    @Farrukhw6 жыл бұрын

    Very Well Explained. You really rock Ma'am...

  • @adabujiki
    @adabujiki4 жыл бұрын

    wow--- what an amazing woman.. you've helped me in a way i cannot describe

  • @Calcworkshop
    @Calcworkshop9 жыл бұрын

    Related Rates Example: Basic practice problem for related rates in calculus. It's one of the many classic related rates problems students will see in Calculus I (AB). A boat is being pulled into shore by a winch. For more lessons covering all topics in Calculus I and Calculus II, visit Calcworkshop.com

  • @cognitojames9694

    @cognitojames9694

    9 жыл бұрын

    You are an excellent communicator. You have a way of making what use to be complex concepts, simple. Please continue, people like me need this type of teaching.

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

    Hi Cognito James, Thank you for the kind words! :)

  • @abaytesfaye8266

    @abaytesfaye8266

    9 жыл бұрын

    interesting i appreciate u

  • @aaiilleee
    @aaiilleee8 жыл бұрын

    you saved my life seriously best calculus teacher ever!!!!!!

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    +Ailee K - WOW - Thank You SO Much!!

  • @carolinemitchell5711
    @carolinemitchell57118 жыл бұрын

    You are super fantastic. Please put out more videos!

  • @mkayzondy
    @mkayzondy6 жыл бұрын

    Great video.....Thank you

  • @bjlouisRev
    @bjlouisRev7 жыл бұрын

    This was awesome. Finally learning how to do this stuff with your help.

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    Hey Bryan - thanks! Glad you enjoyed our video. :)

  • @anabellalutz2312
    @anabellalutz23129 жыл бұрын

    Please do another example of this! Your teaching is amazing!!!

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

    Hey Anabella Lutz - thx :-)

  • @Serie56-69
    @Serie56-699 жыл бұрын

    Thank you!

  • @medinasFamily
    @medinasFamily6 жыл бұрын

    Thank you. You are the best! This video is so helpful.

  • @Calcworkshop

    @Calcworkshop

    6 жыл бұрын

    Thanks Luis!

  • @williamblake3795
    @williamblake37958 жыл бұрын

    thank you so much:)

  • @arpinemanukyan9458
    @arpinemanukyan94589 жыл бұрын

    Great explanation!! Thank you so much!

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

    Arpine Manukyan Thanks! Glad it helped.

  • @1nappy
    @1nappy8 ай бұрын

    THANK YOU!!!!

  • @prissarpong
    @prissarpong8 жыл бұрын

    You rock Ma'am!

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    +Aminata Diallo :)

  • @leebowlby
    @leebowlby9 жыл бұрын

    Very good explanation. Thank you.

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

    Hey leebowlby - thanks for the feedback!

  • @aschmitt5260
    @aschmitt52609 жыл бұрын

    This helped clarify a lot that I did not understand in class!! Definitely good at what you do, thank you!!

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

    Hi *****, Thank you for the kind words! I'm glad I could help clarify things for you.

  • @rhenry973
    @rhenry9738 жыл бұрын

    you are amazing!!! my calc teacher always rushes the lessons so i end up having no idea what im doing

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    Hey +Rob Henry - WOW, thanks so much for the kind words. :)

  • @1light4love

    @1light4love

    4 жыл бұрын

    I feel ya! Mine rushes and thinks everything is crazy simple... "just take the stuff of the stuff and multiply by the inside stuff but NEVER plug in the other stuff FIRST!" ....nowhere in there did he mention THERE WOULD BE A CONSTANT FOR ALL PATHAGOREAN APPLICATIONS!!!!! thank you SO much CalcWrkshp! I have a big exam coming up next week, and will be checking out tons more of your videos over the study-filled wknd! ^_^ Plz keep it up!

  • @irfanshahidan9651
    @irfanshahidan96519 жыл бұрын

    the best teacher . thank you

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

    Irfan Shahidan :) :)

  • @77moOoDy7
    @77moOoDy79 жыл бұрын

    You are amazing I really wish you'll keep going

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

    Hi Al-Mutawwa Mohammed - Thanks and I'll have more videos posted this Fall.

  • @Anubis10110
    @Anubis101106 жыл бұрын

    love you

  • @karah6165
    @karah61657 жыл бұрын

    Hi! Just a quick question. Could you simplify 13(-4)/5 and have -10.4 as the final answer? Or do you prefer to leave it like "13(-4)/5"??

  • @tacosamuel

    @tacosamuel

    6 жыл бұрын

    Karah O yes

  • @aashishshrestha8180
    @aashishshrestha81805 жыл бұрын

    nice

  • @rishabhuniyal9117
    @rishabhuniyal91178 жыл бұрын

    This video is too good to clear my concept regarding this topic thank you mam....................... Thanks A Lot

  • @klyxes
    @klyxes9 жыл бұрын

    could you include more than 1 problem in videos like this? it's a good explanation but i think it would be better to include more problems so that the spectator can know whether he/she if beginning to grasp the info. correctly.

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

    Hi klyxes, thanks for the comments! I have another example for related rates on my site, calcworkshop.com. Look at the sample videos on the front page. :)

  • @samraimi4265
    @samraimi42658 жыл бұрын

    great vid, steps are very detailed! Post more related rates? ;D

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    +Sam Raimi - thanks :)

  • @jackross7459
    @jackross74598 жыл бұрын

    I'm in 8th grade math and I'm happy to hear the Pythagorean theorem isn't useless

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    +Jack Ross :)

  • @LawriLuvsLemonade

    @LawriLuvsLemonade

    6 жыл бұрын

    Jack Ross Why were you watching a Calc video when you were in the 8th grade? 😂

  • @OscarRodriguez-tr6tc
    @OscarRodriguez-tr6tc8 жыл бұрын

    why does the boat accelerate?

  • @abdiboru8983
    @abdiboru89834 жыл бұрын

    please teacher aploud limits and derivative lecture i love your teaching system

  • @emmanuelapuamadi9591
    @emmanuelapuamadi95918 жыл бұрын

    please when you take the derivative of b^2 why did you add db/dt and r^2 you add dr/dt. explain it please

  • @TaraMenonPattilachan

    @TaraMenonPattilachan

    7 жыл бұрын

    Emmanuel Apuamadi Have you seen her elaborate Implicit Differentiation video? You probably should if you want to know why. It's standard.

  • @bahuleyan6552

    @bahuleyan6552

    7 жыл бұрын

    malayalMsX

  • @gordonglenn2089

    @gordonglenn2089

    5 жыл бұрын

    Short answer: The Chain Rule She is taking the derivative "with respect to time" in each case, not with respect to b or r, so she must multiply (not "add") by the inner derivative.

  • @Nate-oj4eb
    @Nate-oj4eb7 жыл бұрын

    Shouldn't h^2 be = 2h --> then plug in the height? I mean there's still a power right? also, r is just a number.. so shouldn't it be ZERO too? lol getting confused.

  • @nightslayer380

    @nightslayer380

    7 жыл бұрын

    Nate R is a number but it's a number that changes with respect to time, since the rope length is changing. H is the height of the dock which doesn't change at all throughout the problem. Also whichever way you solve for h it is just a constant number which will always be 0 when you differentiate.

  • @Nate-oj4eb

    @Nate-oj4eb

    7 жыл бұрын

    fgdh

  • @adv3nturetime

    @adv3nturetime

    7 жыл бұрын

    so basically its because h isn't changing and everything else is, bro

  • @soonerfan0161
    @soonerfan01614 жыл бұрын

    Smh I really wish she was my professor, my professor is trash😂

  • @smokingtires5
    @smokingtires59 жыл бұрын

    Why do you only have 2 videos? I'm pretty sure there are more topics in calculus that need covered.

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

    Hi Kenny Krey, now that'd be a popular channel, "Calculus: Done in 2 videos!", right? :) Was there a specific topic that you were interested in? If you'd just like to see what else I teach, then you can check out my site, calcworkshop.com, for my calculus course.

  • @ultimateossas
    @ultimateossas6 жыл бұрын

    "age is just a number"

  • @anticbruin4513
    @anticbruin45136 жыл бұрын

    H is just a number....