Related Rates - Simplified

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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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Опубликовано:

8 окт 2024

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Комментарии : 79

@aaronnibbe4567 8 лет назад

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

@Calcworkshop 8 лет назад

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

@tunneltrance 8 лет назад

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 8 лет назад

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

@ramichoeb2743 7 лет назад

My right ear thanks you

@Calcworkshop 7 лет назад

haha - you're welcome

@hoochiemamma2 7 лет назад

left*

@tedm.8572 9 лет назад

I like how you reiterate concepts in different ways.

@Calcworkshop 9 лет назад

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

@trishacastillo4829 9 лет назад

You explained it very well! Thank you so much

@Onnethox 7 лет назад

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

@Calcworkshop 7 лет назад

:-)

@AceofDlamonds 10 лет назад

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 10 лет назад

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.

@aaiilleee 8 лет назад

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

@Calcworkshop 8 лет назад

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

@allanbarahona4657 8 лет назад

THANKS SO MUCH!!!! BEST CALC TEACHER EVER

@Calcworkshop 8 лет назад

WOW - Thank You!!

@anabellalutz2312 9 лет назад

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

@Calcworkshop 9 лет назад

Hey Anabella Lutz - thx :-)

@adabujiki 5 лет назад

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

@bjlouisRev 8 лет назад

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

@Calcworkshop 8 лет назад

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

@rhenry973 9 лет назад

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

@Calcworkshop 9 лет назад

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

@1light4love 5 лет назад

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!

@kristitruong97 9 лет назад

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

@Farrukhw 6 лет назад

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

@medinasFamily 6 лет назад

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

@Calcworkshop 6 лет назад

Thanks Luis!

@zifengjiang5899 8 лет назад

This really helped me thanks alot

@aschmitt5260 10 лет назад

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

@Calcworkshop 10 лет назад

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

@rishabhuniyal9117 9 лет назад

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

@carolinemitchell5711 8 лет назад

You are super fantastic. Please put out more videos!

@prissarpong 8 лет назад

You rock Ma'am!

@Calcworkshop 8 лет назад

+Aminata Diallo :)

@arpinemanukyan9458 10 лет назад

Great explanation!! Thank you so much!

@Calcworkshop 10 лет назад

Arpine Manukyan Thanks! Glad it helped.

@irfanshahidan9651 9 лет назад

the best teacher . thank you

@Calcworkshop 9 лет назад

Irfan Shahidan :) :)

@leebowlby 9 лет назад

Very good explanation. Thank you.

@Calcworkshop 9 лет назад

Hey leebowlby - thanks for the feedback!

@1nappy 10 месяцев назад

THANK YOU!!!!

@klyxes 10 лет назад

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 10 лет назад

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. :)

@mkayzondy 7 лет назад

Great video.....Thank you

@abdiboru8983 4 года назад

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

@Serie56-69 9 лет назад

Thank you!

@77moOoDy7 9 лет назад

You are amazing I really wish you'll keep going

@Calcworkshop 9 лет назад

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

@jackross7459 9 лет назад

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

@Calcworkshop 9 лет назад

+Jack Ross :)

@LawriLuvsLemonade 6 лет назад

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

@williamblake3795 8 лет назад

thank you so much:)

@samraimi4265 9 лет назад

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

@Calcworkshop 9 лет назад

+Sam Raimi - thanks :)

@karah6165 7 лет назад

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 6 лет назад

Karah O yes

@aashishshrestha8180 6 лет назад

nice

@Nate-oj4eb 7 лет назад

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 7 лет назад

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 7 лет назад

fgdh

@adv3nturetime 7 лет назад

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

@Anubis10110 6 лет назад

love you

@smokingtires5 10 лет назад

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

@Calcworkshop 10 лет назад

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.

@OscarRodriguez-tr6tc 8 лет назад

why does the boat accelerate?

@emmanuelapuamadi9591 8 лет назад

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 8 лет назад

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

@bahuleyan6552 7 лет назад

malayalMsX

@gordonglenn2089 5 лет назад

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.

@Calcworkshop 10 лет назад

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 9 лет назад

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 9 лет назад

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