Related Rates - Simplified

[@aaronnibbe4567]

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

[@Calcworkshop]

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

[@tunneltrance]

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]

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

[@tedm.8572]

I like how you reiterate concepts in different ways.

[@Calcworkshop]

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

[@inquisitive.lurker]

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]

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]

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

[@Calcworkshop]

:-)

[@aaiilleee]

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

[@Calcworkshop]

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

[@ramichoeb2743]

My right ear thanks you

[@Calcworkshop]

haha - you're welcome

[@hoochiemamma2]

left*

[@trishacastillo4829]

You explained it very well! Thank you so much

[@allanbarahona4657]

THANKS SO MUCH!!!! BEST CALC TEACHER EVER

[@Calcworkshop]

WOW - Thank You!!

[@Anabellaxoxo]

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

[@Calcworkshop]

Hey Anabella Lutz - thx :-)

[@bjlouisRev]

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

[@Calcworkshop]

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

[@rhenry973]

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

[@Calcworkshop]

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

[@1light4love]

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!

[@adabujiki]

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

[@aschmitt5260]

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

[@Calcworkshop]

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

[@mkayzondy]

Great video.....Thank you

[@Farrukhw]

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

[@carolinemitchell5711]

You are super fantastic. Please put out more videos!

[@kristitruong97]

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

[@medinasFamily]

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

[@Calcworkshop]

Thanks Luis!

[@zifengjiang5899]

This really helped me thanks alot

[@1nappy]

THANK YOU!!!!

[@irfanshahidan9651]

the best teacher . thank you

[@Calcworkshop]

Irfan Shahidan :) :)

[@rishabhuniyal9117]

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

[@leebowlby]

Very good explanation. Thank you.

[@Calcworkshop]

Hey leebowlby - thanks for the feedback!

[@prissarpong]

You rock Ma'am!

[@Calcworkshop]

+Aminata Diallo :)

[@arpinemanukyan9458]

Great explanation!! Thank you so much!

[@Calcworkshop]

Arpine Manukyan Thanks! Glad it helped.

[@jackross7459]

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

[@Calcworkshop]

+Jack Ross :)

[@LawriLuvsLemonade]

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

[@samraimi4265]

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

[@Calcworkshop]

+Sam Raimi - thanks :)

[@Serie56-69]

Thank you!

[@klyxes]

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]

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. :)

[@Calcworkshop]

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]

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]

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

[@abaytesfaye8266]

interesting i appreciate u

[@77moOoDy7]

You are amazing I really wish you'll keep going

[@Calcworkshop]

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

[@abdiboru8983]

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

[@williamblake3795]

thank you so much:)

[@OscarRodriguez-tr6tc]

why does the boat accelerate?

[@aashishshrestha8180]

nice

[@karah6165]

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]

Karah O yes

[@smokingtires5]

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

[@Calcworkshop]

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.

[@emmanuelapuamadi9591]

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]

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

[@bahuleyan6552]

malayalMsX

[@gordonglenn2089]

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]

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]

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]

fgdh

[@adv3nturetime]

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

[@Anubis10110]

love you

[@soonerfan0161]

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

[@ultimateossas]

"age is just a number"

[@anticbruin4513]

H is just a number....