Average Rate of Change

Introduction to the average rate of change formula.

[targon]

I'm finally going to college 9 years after high school and you're really helping me get calculus ready. Thank you!

[Transfiguracion]

you are helping me soo much through calculus in college right now... God Bless

[profrobbob]

Thank you for watching and for the kind words:)

[bresaifullah]

Ok I know Im suppose to be focused on math, BUT...every video that ProfRobBob does I always find myself saying, "Wow...I love his handwriting!" GREAT videos! Thank you!!!!

[profrobbob]

You are so welcome...thanks for choosing my videos to watch and learn from!

[GOREjess]

You're a great teacher! And you helped me pass this week's homework!  I don't leave comments, but I had to this time to show how appreciative I am. I especially REALLY liked that you explained the slope in the second problem. It really helped to understand the problem even more. Thank you.

Don't stop making videos! I know I am going to need it for next week too. lol.

Have a good weekend. BAM!

[jessyc]

Thank you so much! I'm in college algebra right now, and my professor is awful. You explained in 10 minutes what he couldn't do in a week!!

[georgesadler]

Professor RobBob, thank you for a solid analysis on the Average Rate of Change and also the true definition of a Slope. Average rate of change is also covered in Calculus One.

[profrobbob]

:D...that's me laughing out loud at your reply! You sound just like one of my favorite classroom students...lol
Makes me proud to be your "teacher" too!!! Just for that, I'm going to work even harder at trying to master the dash and will feature it on a video...and when I do, I will dedicate that video to you Hayden...(and will let you know where to find it:)

[renewd]

Hi Mr. Tarrou, it was just today, while reviewing some PreCalculus that I realized I needed to clarify "average rate of change". Of course, it is not a difficult concept (if you already understand slope of a line), but this is still a useful lesson. I just made a small donation to acknowledge the contrbution you have made to my education.

[profrobbob]

Video 19 in my slowly growing Calculus playlist. Look for Instantaneous Velocity and Speed of Linear Motion. It is a full lesson where I compare average velocity to instantaneous velocity and discuss the difference between velocity and speed.

[MrMarkgyuro]

your teaching method is really student friendly and i like that you explain the meaning of the things, many teachers overstep those explanations.

[profrobbob]

In calculus, the concept of derivitives, you will learn how to find the slope of a curve line at a given point...or value of X. Hence, you will find that slope varies with x along a curve. Outside of derivitives, slope is a constant rate of change defined as "change in y per one unit of change in x." So to answer your question here...no...slope is not ax+b.

[profrobbob]

And THANK YOU for seeking additional help and choosing my channel to learn from. I'm totally humbled to even have Kahn used as a comparison from you:) I hope you will keep me in mind if you ever need more help or just as an alternate learning channel! Please share your discovery with your friends too...my wife and I are working very hard to groW my channel and spread the word:D

[fairygirl]

For once in my life I feel like I can actually understand math again. I'm currently taking Pre-Calculus/Algebra 3 with trigonometry and this is my final year of high school, and I'm very happy to say that I'm definitely gonna subscribe to your channel so I can be able to pass this class AND be able to understand what I've learn when I'm out of high school. I'm glad your channel exists Prof. Rob Bob :D

[profrobbob]

Thank you so very much for all the support! I really appreciate all the "likes" on your channel page and thank you too for subscribing:) Please spread the word to your friends too:D

[profrobbob]

no, YOU're awesome for sharing!...THANK YOU so much for supporting our efforts to groW my channel:D We really appreciate your help.

[profrobbob]

THANK YOU! I love teaching and sharing my passion with students who are willing to take that extra step and get outside help...thanks for being one:) Don't forget to spread the word:D

[deadoro]

Even in summer you have to make sure you know what you're doing for next year x) I'm starting advanced pre-cal as a junior and your videos are a big help. Thank you so much for posting them and keep doing what you do:)
-Emily in Texas

[profrobbob]

I'm happy to hear that you are enjoying your learning experience from Tarrou's Chalk Talk so much!