Calculus - Average Rate of Change of a Function

[@mwanziesaffa4167]

You marvelously summed up what Calculus was, & I've been as far as Calculus III! I suffered a Traumatic Brain Injury so I'll be watching the REST of your Calculus discussions. Thank you Professor!

[@MrGreenCheddar]

0:31 "I like to imagine the function like a roller coaster" Shows army jeep driving along function.

[@KevinSmall]

This video is simply amazing...The quality of your work and story telling skills are outstanding.

[@FrancescaSantiagoCaruso]

hey thanks for the videos i have watched them as i am having to take a calc class and have not done calc since HS 10 yrs ago and you have helped me refresh my memory and also helped me understand better some of the things i did struggle with in HS

[@dash_hax6709]

Wow fantastic explanation of calculus. I am interested in calculus though it is not my grade level, and this gives a great and thorough understanding of calculus. Thanks so much MySercretMathTutor!

[@shacharwitzrabin4743]

I don't usually comment, but this video *SAVED* my life right now Thank you soooo much

[@gowezzmania880]

Your work is superb!!! Because of this video, now I start loving calculus.

[@raulortiz5]

Maestro, muchas gracias. You make it so easy.....I also noticed about the roller coaster. Why do some teachers like to scare students? It is something I ll never understand. It happened to me with Accounting. I ll never forget that good teacher. LACC. It made it so easy to understand...Accounting should not even be a college subject. Should be taught in Grammar school. Its so simple

[@RanNar-t7q]

As a 11 year old, this video has been a great help and it is simple to understand. (Don't judge me, I am a nerd.)

[@liliyanaydonova2652]

This was very helpful, looking forward to more!

[@zuhail339]

I WANTED TO KNOW THE CONCEPT OF AVERAGE RATE OF CHANGE of the function but everyone is so obsessed with instantaneous r.o.c. they never teach avg. R.o.c

[@MySecretMathTutor]

Hopefully this was helpful then. :^D

[@danielross6406]

Thank you!!! Realllyyy!! My exams will be tomorrow it really helped me a lot

[@lightryuzaki3974]

Daniel Ross u must be engineer now?😂

[@ArielTavori]

Such valuable information in such a digestible format: about 20k views per year. I wish I could send you $50k to keep doing what you do! Thank you!

[@kratexoxyn9089]

Can u plz help me with 10k$ for starting a class like him ☹️

[@sligon00]

​@@kratexoxyn9089 You don't need 10K , just make the videos using free software , and your time...and remember , GIYF , and will answer all your questions. Plus use the youtube search as well , for tutorials on creating your content...

[@hitman86100]

wow excellent way to teach SIR...

[@sathishc.9923]

Very nice explanation

[@zorsat1]

Very enjoyable indeed, thanks

[@beehive7753]

Question how do you know the slope like how can you determine that it is 3/5 is it supposed to be the 3 represent the Y axis and the 5 is X axis could someone explain this to me.

[@focusonlearning6705]

This is very helpful

[@lamgai5405]

Great, I enjoyed it

[@Abdulsalam-bc4mx]

Thanks you this helps me so much

[@alieshacurrie]

The Cartoon Graphics Help Me

[@silverrain530]

I watched this to see what I will be doing when I finish college algebra. Why does this look so much easier eben though it is a "more advanced" course?

[@SosoSoso-zj6ch]

🌸🌸🌸

[@aacc230]

It's really helpful. :) Thanks

[@sajadkarimi1828]

very nice

[@RajdeepBorgohainRajdeep]

I was learning calculus for Machine Learning but it was not that intuitive until now!

[@chimerablack4913]

I don't understand how taking two random points on a line gives you an accurate average slope. It seems you said "if we take the first two random points, our slope is 2/3, if we take two other random points, our slope is 0. " So to me you're saying this method is not an accurate means of determining average slope. But maybe I'll understand you by the next video.

[@ryanoconnell3135]

exactly

[@robertkarena4571]

I am 9 and I understand calculus.

[@curismo5526]

Im 2 and I understand calculus, beat that.

[@ryanxin1848]

I was 8

[@kailey3452]

@jess ok boomer

[@kennethwilliams4396]

@jess periodt

[@05st43]

i lern calculs when i was in womb!!!1

[@KararEsamAkram]

many thanks ... you helped me a lot

[@ElifArslan-l9g]

thank you

[@ebaker4260]

great video! very informative. What software did you use and graphics? would love something like this when i teach my cybersecurity classes. thanks!

[@lamyasms4656]

whats the thing used for making the video

[@ArielTavori]

In another reply he said "I use a program called "PowToons" for the animations "

[@ConstantineM.]

This seems easy enough, i can draw a line! Surely it wont get more difficult right?? 😮

[@YeshaniNethmi-q6o]

[@piemammoth5065]

Can rate describe avg change?

[@lishtm2425]

Can u just tell me what to multiply and divide?

[@yw5hba891]

what? how can there be multiple average rates of change on individual functions......

[@TheToxic35]

this is between two individual points on the function. the function in its entirety only has one average rate of change, while there are smaller average rates of change between any two points on the function. Hope this helped

[@carbon273]

You’re essentially cutting a section of the function and find the weighted average

[@MrFamousguy13]

There was no math lol, and I still understood it meanwhile in zoom class my professor started off with math and I didn't understand.

[@sydneydianevlogs5705]

Same

[@leoyang1.618]

This helped

[@anabellalloyd1935]

Love it

[@Mathskylive]

Đồ thì đường cong đỏ đẹp đó.

[@सुमितकौशिक]

Why do we work always on graph

[@सुमितकौशिक]

Okk.......Please explain Taylor and Maclaurin Theorem in easy language on graph.I want to know what they really mean.

[@सुमितकौशिक]

I like cartoon version very much....................

[@Dunblide]

My master degree asked me to learn about calculus and linear algebra I'm sweating My maths sucks.

[@simpso0ns]

i am 5 and i understand calculus mate i am british

[@LONE-MUHAIB]

.

[@badam9656]

Hey I'm 10

[@badam9656]

Thanks for the heart

[@sachinpathy8838]

i learnt calculus when i was 8

[@kylelam884]

xD

[@GhostLightPhilosophy]

yeh right

[@sarahdavis5882]

“learnt “

[@curismo5526]

i learnt calculus when i was a sperm

[@forloop7713]

I'm here and I understand tensor calculus

[@hanumanaska292]

Martin S I understood too, but now I'm 12

[@brajendrapandey4931]

I did not learn Calculus at 5 years old although I learned the "word" Calculus at 5 years old.

[@kaiad6786]

Didn't help me.

[@sarahdavis5882]

i hate math so much i’m crying

[@MySecretMathTutor]

It can be difficult, and truth be told, it probably makes everyone cry from time to time. To master it, take breaks, then don't be afraid to jump back in there and learn more. Little by little it will make more sense. :^D

[@mathewsmartin8256]

I am -2 years old and I understand calculus

[@ryanspain3143]

thanks for telling me nothing useful

[@kylelam884]

im only 10