Can anyone let me know the similarities between the average and instantaneous rates of change?
Thank you.
the only similarity I can think of would be the units.
given averages over a long enough period of time and fast enough varying instantaneous rates you can make the correlation between the two as close to zero as you like.
One thing you can say is that as the period that you are taking an average over approaches zero the average rate of change will approach the instantaneous rate of change.