Calculus: Related Rates 2

[colitaspa369]

YOU ARE THE MAN

[dreamzsky]

tnx man!!!!u helped alot

[okiown1]

this guy has helped me pass calculus thus far .... this is awesome lol

[XSoulscarz53X]

i failed my first calc class and currently on my 2nd try, doing much better and better teacher as well but i would prefer you anytime

[studywithvidz]

you have read this a million times already but I'm going to say it too, YOU ARE AWESOME!!!!!!!!!!!!!!!!!!!!!!!­! I wish you could be my teacher for every subject from start of college to end!! GOD BLESS YOU!!!

[romyboy]

what a baldy great old teacher!!! added another tool on my tool kit

tnx a lot sir...

[saheluddin]

thanks, this is good stuff 

[prefects2010]

this guy is INCREDIBLE

[bestsinger1289]

Thank you for reviewing the implicit differentiation at the end..cleared a whole lot up!!! Please keep posting videos!!! I don't know if you have but please post videos on curve sketching and finding minimum and max values

[proteusmoon]

Why have I not found this earlier? I'm about to fail my differential calculus class for the second time :( No Joke. T - 7hr until the final.

[moekneemaker]

Your AWESOMEEEEEEEEEEE

[MultiSuperstar13]

Thank you so much i understand it now!!!!!!!!!

[TheJackieHeart]

I think I love you. . . . You sir, are an amazing teacher

[aparrotslife]

Thank you! You are a godsend!!!

[PhxPride1]

wow. the last minute is golden. he really unites concepts. Thanks pal.

[zombiedon771]

great video !!!!

[nainqx]

what happened to the 2x and 2y infront of dx/dt and dy/dt

[DontrellChase]

@nainqx he divided by 2, so it went to x+y

[61n9ne]

you divide the whole thing by 2

[enilec68]

@nainqx he took it out by division

[donkeyass5042]

i want this guy for my calc professor, mine sux!!!!

[noname57631]

you are awesome

[Riv3ara]

Thank you!

[drexelmcquimby]

A masterpiece of clarity. Great work!

[chihuasmex89]

Beautiful!!!!!!!!! you are a great teacher

[yankeeboy14534]

THANK YOU SO MUCH! YOU JUST SAVED ME FROM FAILING MY CALC MID-TERM.....my teacher should take notes

[spacebird413]

thank you

[ednedfred]

Thank you, thank you, thank you.

You made this very easy.

Awesome.

[Grandmajoe123]

Nice, slow explanation. Thanks for the help! I love my math teacher, but he talks like 18 times faster than you and it's impossible to learn.

[TIPorchestra93]

oh my god thank you soo much. my calculus final is on tuesday and you made related rates so much easier to understand thank you

[himynameismollym]

you are genuinely a god for taking your time to do this. my ap calculus class is WAY above my head, but these videos help me sooooooo much. thanks so much!!!

[burnerj2000]

u should of told us you plugged in 6 to the original equation so i could of followed easier but i found out. no problem

[BrendaGoes123]

oh my god i understand!!!

[Wymorej]

wow thank you very much your awesome

[MetalDraciel]

YOU ARE FUCKING AMAZING ! thats all i have to say .

you made me understand this CLEARLY in less than 10 minutes while my ap cal teacher has been trying to do so for over a week now.

Im gona send this to my fellow classmates. Thank you !

[barnamah]

thank you very much. The way you pust dy/dt on Y axis and dx/dt on X axis made it very easy and clear. My teacher was just introducing it I couldn't understand. Thank you.

[BWpepperr]

Fantastic.

[jshhh890]

this is the first time i have ever understood any part of calculus.

[SylvanFP]

I think i'm in love with this channel :P thanks for the upload, it helps a ton!

[Aesalia]

wow i finally understand this lesson, im so happy lol

[TheBoredNerd]

holy crap... i never understood the dy/dx, and why x isn't solved like that... so THAT'S what they mean by "with respect to x"

Thanks so much, just cleared up my conscious a bit!

[gart7777777]

I've got a calculus exam in 4 days, My Professor is good but hard to understand. Thanks for clarifying

[SamJackShipper93]

Incredible. You taught me more with a couple of simple videos than my math teacher and tutor could in two weeks.

Thank you so much! :)

[hiimboreddd]

you blow my mind away. I took calculus 2x and now i FINALLY understand related rates. this 6 minute video was better than my previous professor teaching for 1 hour. simply amazing.

[hellokittydimaggio]

amazingg. i get it.

[MJforLife18]

So the steps are:

1. Find the equation relating horizontal and vertical distances and the hypotenuse. (x,y, and 10, respectively)

2. Find y based on this equation

3. Derive that equation w/ respect to time

4. Substitute y, x, and dx/dt into derivative equation, and solve for dy/dt.

dy/dt represents the change in the vertical height of the ladder at a time t.

[janitarjanitar]

let the man do his job, you can't summarize his genious

[siddharthshah]

OMG thanks so much !! This world needs more profs like u

[JOxSOxFINEx21x]

so basically when he says "with respect to t" that means put dt as a denominator...

i never understood what my teacher meant by that.

thank you!

[bobobob141]

t just means time and so what it means i how much it changes at any instantaneous time say 2 seconds........just means that you find the instantaneous rate of change for the value of 2 seconds.........

[GrahamGallaher]

Thank youuuuuuuuuuuuuuuuuuuuuuuuuuuu­

[KMB523]

these are so helpful, you're a better teacher than my professor!

[sedargo77]

so helpful,.... I need this class to pass high school

[ElmoPansy]

Thank you for this video (and all your others). They REALLY help me out a lot.

[mastastakes]

excellent voice

excellent teaching

[starcalibre]

he is my father

[mhwaad]

really!! .. tellm thank you for his channel it helps a lot

[opmike343]

I'm your father.

[starcalibre]

NOOOOOOOOOOOOO

[Chloro303]

Wow, you have very clean and legible handwriting... sigh*... only if all my teachers wrote as neatly as you do

[sharma1337]

Yea these really help alot. I find I have difficulty using the right equation to relate all my variables like areas of various shapes, right angle triangles and whatnot. The actual differentiation and and substituting in is not really hard.

[chaimss]

Thank you very much! I wish I had found these before my first tests, maybe I wouldn't have failed then... I envy your students!

[theSchnit]

This is a difficult way to solve a simple problem.

[chaimss]

It's necessary if you have absolutely no idea where to start.

[misteratoz]

Just took the AP calc ab exam. Just barely finished, and guess what, no related rates!! I always had the hardest time figuring this stuff out, and it took me all year to put it together.

[jrendoso]

you are awesome, you don't know how helpful this has been to me. i had a class about this and i came out clueless, now it looks so simple thanks to you....

Regards from Colombia (South America)

[dopplerdog2000]

This is great. Why can't all my lectures be condensed into a youtube video that I can watch as many times as I want?

[jrendoso]

i have always thought the same.

[lucasdallas]

thank you very much sir

no longer will i fear realtaed rates

[bluegoku]

Damn it why didn't i find you earlier =(.

[serendipityskies]

if you taught at calc at our school, i think

a lot less people would go crazy.

thank you & keep doing what you do!

[illa2015]

seriously thank you soooo much!! you don't even know how much this helps me

[B18tegg]

I wish you were my Calc professor. Good job!

[elcheno]

awesome vid!

[ek96vtec]

Thanks for all your videos! Got my midterms coming up soon and your videos make these related rates seem so much easier than what we do in class! It's hard to listen while taking notes!

[fireblade278]

I just wanted to say thanks and keep making those videos! You are helping so many high school and university students make sense of calculus

[UnusualSuperFly]

I love your handwriting and thanks a lot for these great videos! My teacher isn't very proficient in English so I usually misunderstand what he says. Cheers!

[papasteve07]

OMG! This is way easier then it looks in class....it makes SO much sense now! Why cant teachers actually TEACH?!?

THANK YOU!

[Helpbot]

Thank you :)

[JasonTheKangsta]

i like how this guy is so neat when he writes and stuff unlike my teacher who just sort of scribbles the notes down on the board lol

[levine35]

Thank You

[GrissomRox]

Man this guy makes me want to kick out my roomies and lock my door. Never have I been so turned on by calculus. I'd like to see what his ladder could do.

[Dasherflip]

i feel like when the 2 is factored out it should still be there but outside parenthesis

[nycnazifa212]

no because when u factor out 2 there is a zero on the other side so when u divide both sides by 2 is still zero

[Dasherflip]

okay thx that makes sense now :)

[runnerman89]

I am actually taken calculus in college... lol I have a final exam tomorrow and this is by far the best explanation I have seen Thank you for this service

[s3ct0r3]

I just wanted to say thank you. I missed 2 days when my teacher started this lesson, and I didn't get itand for that matter, neither does the class. You actually explained why you multiply by the derivatives because you're using the chain rule and so on. My teacher just told me that we do that because we always have ... and that was it.

Thank you, I actually believe that I may just understand this now.

[shamari2k9]

Thank god for you. For real.

[armbar541]

This guy is pretty good at this. his hand writing is really clean too, unlike my calculus teacher who write small and occasionally on an angle. DO MORE CALCULUS! :)

[Dasherflip]

yeah i agree if it werent for this guy id probably never understand calculus

[jacobbis4lovers]

This guy makes Calculus seem really easy and I like how he explains things. I'm not in calculus, but I've been watching his video every day because I have to take calculus in college so I want grasp the basic concepts and I'm starting to understand it now. He's awesome. I wish he was my teacher.

[colombiantom]

dude..you are really good you should be y teacher..ohh by the way you look really alike to my psycology teacher who is one of the best in psy as i believe you are in math..thanks a lot and i wish good stuff to you and hope to see more videos

[provexee]

Thank you very much!

You give great explanations that even I can understand!

[Solidstryker]

this explanation is awesome, thank you very much!!!

[AbyssZomG]

This video is awesome, you have no idea how helpful these are...

[ibdrumn]

thank you so very much! my friend told me about you and she said you helped a bunch! and it is true! we have a quiz tomorrow for AP Calculus and this video helps because its nice and slow so we can actually comprehend what is going on. Our teacher is a good teacher but she goes really fast and she speaks with an accent so it is hard to fully understand how to approach a related rates problem!

[xiaoyi58]

Thank you so much, I was so worried that I will fail my test on related rates tomorrow and now I think I will pass it! Thank you Thank you, you explain it better than my teacher :)

[birth7781]

I like this guy, he helps, but can't he get a camera man?

[xylokid4]

i liked the part when u explained the differentiation thing again because that was actually the only part I did not understand.

[gumdealer328]

you are amazing! thank you so much!

[azartash]

Thanks for the problem. But what if they don't ask you for how fast the ladder is sliding down, but rather how fast the angle is changing between the ladder and the floor?

[VictimOfBoredom]

Ditto! Could someone please quickly explain this? =0

[xylokid4]

lol well thats just the derivative of any number is = 0. like if you solve it with limit definition derivative, then u use

f(x+h)-f(x)/h right? well u cant do any of that with a real number. its just the way it is lol. did that help?

[Gadtula2]

tnx man!!, but, what if the base and height is not given?

how am I supposed to solve for the descent speed?

tnx

[Ilawa]

You are the best! God bless you, wish my teacher was as good, wish you were my uncle.

[hs1white]

You are really good at explaining things, I wish I had you for calculus.

[7luiseveneves7]

Wow.,.. you are awasome .. before I watch the video I doubt i could actually learn something from this video , now I realize I learn more from this single 6 min video than in my 1hr calc class of yesterday.... thank you a lot... You should make your own interactive cd of calculus

[Dinowarrior21]

I learn more from your videos than I have learned in the college classes. You go straight to the point without having to try and explain the proofs of Calculus which should be taught to the Math majors. (Epsilon-Delta for example) Keep up the great work.

Miami,FL

[payasitopimpim2002]

we really appreciate your help...and follow your virtual classes..thanks from lima peru

[Xenodaant]

I came on youtube to search up an equation, and came across your videos. And I am impressed. You are an amazing professor, who has taught me more in 30 minutes than what my teacher has taught me this whole semester. Thanks alot! Great work! Your help is highly appreciated!

[wahod]

He knows what we need

[anilatorA]

wow man great awsome job, make more and more videos, extremely helpful.

ty professor.

[tuberALEX]

This video was really helpful and enlightening. Thank you.

[johntkucz]

very little gloating or ego in your lessons. great stuff! immensely clear and informative.  Better than college-level calc calsses! However, this specific problem is hard to envision b/c rate of ladder falling (due to friction and ladder weight0 would not be a constant, and be a rate of change as well (unless this experiment was in a friction-free vacuum.

[matador11113]

I wish you were a teacher at my university because i would be your student.

[tovida]

THANK YOU SO MUCH!

[arod889]

ALOT more integral calculus please. volumes of solids rotating around an axis please!!!

[TheThinWoman]

awesome!!!

[XedLos]

thx

[dilbar99]

thank you very much, you are the best so far

can you please do some linear approximation problems

[Sword4souls22]

I knew how to do most this stuff but the later in the year and the farthur along in the class I get I begin to forget this easy stuff and u do a great job reminding me. Jaime Escalante would be proud.

[placebomessiah]

dude

the world needs more instructors like you

[andrewalberthoge]

I don't know who you are but THANK YOU!!! This video was amazingly helpful! Thank you for taking the time to do this...it was very clear and easy to follow!

[andrewalberthoge]

I don't know who you are but THANK YOU!!! This video was amazingly helpful! Thank you for taking the time to do this...it was very clear and easy to follow!

[deathwishtomax]

great job explaining everything it helped me comprehend better.

but aren't these problems easier than the ones on the AP exam?

[princessn216]

good job, thank you so much this clarifies A LOT.

[cterris]

great stuff

[r03123]

Thank you so much! Now I understand something I didn't understand for the past five math classes!

[EXOTICLOVINX0]

I found my new fav. video series..at least for this year [: thanks so much

[pherk]

Thanks for your video, this helps out alot. :)

I wish I had you as a teacher too =[

[AdamMACHI]

Best Calc teacher ever (AAA+)

I wish i had you as my calc teacher.

Please keep posting, your explainations are the best i've heard yet.

^=(^^)=^ 2 thumbs way up!!!

[TehRahk]

Amazing! Thank you, my text book did such a bad job explaining this. I have a test tomorrow and I was really worried. But thanks for clearing that up for me. The tidbit you added at the end about the chain rule really helped me understand what I was doing.

[undertaikur]

yout the best teacher ever. i wish i had you as my teacher. please post more calculus related problems as much as you can thank you

[ShaIIowfu]

awesome penmanship !! love your teaching sir!!

[s27000]

wow you're an awsome teacher. thank you for making this so clear for me. i really understand it now. thank you so much

[ranssff]

excellent video. great, detailed, concsie explanation. thank you very much for posting

[litzingera]

Great stuff! My class is doing related rates right now and it's nice to have these videos to help better understand it. The book can be really confusing! Thank you.