I'm having trouble understanding the instantaneous rate of change conceptually. I've always thought of the slope as being the rise over run for a graph of at least two points but if we are only looking at a single point it doesn't make sense how it has a slope because what are we comparing it to if we are only analyzing a single point and not comparing the slope of two points from one another? If the instantaneous rate of change is the change in an instant how long is one instant even measured could we say .000001 seconds from the previous instant or even a smaller fraction of a second? One instant it has a certain slope and another moment it changes instantly that still sounds like two points to me. Sorry for the long post, I understand how to solve these types of problems, but I'm trying to understand it better conceptually.
Sir please tell me Is instantaneous more accurate than average. How? And then what about mean value theorem ,where if a continuous function is given defined in some interval [a,b] then there exist a point c where the average and instantaneous are equal? How this possible?
Check out my best derivative trick yet!
ruclips.net/video/BjDsJUkDsY4/видео.html
Man! Its very Clear, Im very amazed how much you turned the hard technical jargons to easier to understand words.
Amazing video! I love that you didn't overcomplicate anything and were very clear all throughout the video. Thank you so much!
Very clear and concise teaching. Thanks!
Thank you so much jani .
This video removed my whole confusions
thanks very much
Way of teaching is very incredible
Thank you so much!!! I have AP Calc BC exam on Tuesday and this really helped to clear up some concepts!!
I'm glad I could help. Best of luck!
THIS IS EXACTLY WHAT I NEEDED THANK YOU
You’re very welcome!
short and precise .thank you so much
You're welcome!
Thank you. Great video. To the point and concise.
Thank you.
Thanks, you explained it really well!
Super concise and helpful, Many thanks!!
Glad to help! Have a wonderful day.
Thank you, I'm writing a test on Friday and I just want to be ready. Again, thank you.
Best of luck!
thank you so much. it was so clear.
Awesome 👌 👏 👍 😍
Totally cleared my confusion thank you😇
Thanks man!
You're welcome. Have a great day!
Thanks you so much!
You’re welcome! Have a nice day.
THANKS TO THIS VIDEO ILL BE ABLE TO SLEEP
Absolutely stunning 🤩
Thank you! Cheers!
I'm having trouble understanding the instantaneous rate of change conceptually. I've always thought of the slope as being the rise over run for a graph of at least two points but if we are only looking at a single point it doesn't make sense how it has a slope because what are we comparing it to if we are only analyzing a single point and not comparing the slope of two points from one another? If the instantaneous rate of change is the change in an instant how long is one instant even measured could we say .000001 seconds from the previous instant or even a smaller fraction of a second? One instant it has a certain slope and another moment it changes instantly that still sounds like two points to me. Sorry for the long post, I understand how to solve these types of problems, but I'm trying to understand it better conceptually.
Thanks so much, this really helped!
You're very welcome! Glad to help :)
His video titles are so cute and funny 🤣
Great comparison
Glad you thought so!
Sir please tell me Is instantaneous more accurate than average. How? And then what about mean value theorem ,where if a continuous function is given defined in some interval [a,b] then there exist a point c where the average and instantaneous are equal? How this possible?