Related Rates in Calculus Part 1 Calculus 1 AB

I work through multiple examples of Related Rate problems from Calculus. In the first example I keep saying speed instead of velocity and I say that speed can be negative. Since speed is the absolute value of velocity this is incorrect. Annotations have been included, but these are not visible without Flash.
Related Rates Part 2 Linear vs Angular Speed
Calculus Related Rates Example Volume of Cone

[ChrisMcGuire]

Hello! Biochemistry major form Dallas here. I made my first "perfect" score on a calculus exam last week and I have you to thank Mr. Tarrou!!! Please keep it up!

[profrobbob]

You are welcome...and thank you for learning from my videos. You played a big part in those grades...after all, you were the one who reached out for extra help...I was just lucky enough for you to choose my channel to learn from!!! Thanks for your continued support:)

[sourwolfangel]

Your videos got me through Trig and Precalc, and they're the only reason I have an A in calc now! Thank you so much! Derivatives were so hard for me in the beginning, and now they make a ton of sense.

[profrobbob]

Related Rates in Calculus now with Closed Captions.  WOOHOO!!!

[profrobbob]

YOU ARE WELCOME! Thanks for watching and please share with your friends and fellow students! Thanks:D

[profrobbob]

As well you should be confused, you are absolutely correct!!! I went off on a tangent there and apparently went out of my head as well. I am going to trim the last example off this video and remake a video for that example. I am very sorry for the error.

[chirrrin]

Prof Rob hands down to you, I go to school but the real learning is in your channel. pretty much you teaching me calculus instead my teachers. Greetings from Mexico! 

[profrobbob]

That is a good question...which I am not sure how to answer. There are no questions in the textbook I use like that...and I have not been looking at any Calculus for many months as I have building my Geometry playlist for a new class I am teaching. I don't teach Calc to a live class, so I don't live and breath it everyday. I look forward to getting back to calc in a couple of months. Of hand, you can probably have the rate of water flow be negative and keep the cone in the same orientation.

[EP-rqpn]

Wow, incredible! I feel like I have a deep understanding after watching this vid, thank you! Nice photography BTW!

[jarlver]

Thank GOD you do a video on related rates. teacher ever.

[profrobbob]

Thank you, I love being a teacher! I am slowly building my calc library, so I hope you will find more useful videos to watch and share:)

[profrobbob]

Thank you. Photography is a pretty major hobby of mine:) Thank you for watching as well!

[daylightintheswamp]

Mr Tarrou,
Im taking my first calculus class at 37. I started refreshing my math skills a year ago on some of you algebra 1 series. Many of your videos have helped me reiterate the lessons from classroom and books. My sincere gratitude to you. Your effort and love of math are legendary!
Adam

[profrobbob]

WOW, "great" job Biochemistry major from Dallas! Sorry I only have the first 4 chapters in Calc done...but after my Geometry library is complete I will be moving on to Calc (that won't be in time to help you but I sure do appreciate the nice comment and your viewership!

[dustinfickert]

I love you videos and are my go to for help. So please keep it up! Question though, you say you enjoy watching car racing, where did you go to take those pics? And I also have to ask, do you have a fun car to drive? :)

[jenniferweir]

What calculus textbook do you prescribe for your students? The class that I am in is using the Stewart's book and I really can't stand it.

Love your videos, they are what has gotten me this far.  Thank you!

[profrobbob]

I am sorry I missed your comment. Do you still need help? I am extremely busy at work and... :(

[KydroxHD]

In question 2 @ 10:18 . Your lecture on how the question worked is a little shakey, but tell me if I understood it wrong because it seems I took a slightly different approach to get the same result

You are given the dx/dt and with that and the f(x), you can find dy/dt. Since you have both dx/dt and dy/dt, it essentially acts as 'a' and 'b' in a pythagorean triangle. With a^2 and b^2 you can find c^2 which is the slanted line on the graph. Im missing something in my understanding, im not sure what. Im not sure if its right either. (Love the vids btw, been subbed to this channel since precalc 11)

[drhf]

thank you for helping me in my ap calculus class. you dont know how much of great help you are.

[maxaltamimi]

Thanks sir this is awesome! i have told all my cousins in middle east about ure channel :) and they love it.