2.1: Instantaneous Rate of Change

Main Points
This chapter considers the rate of change of ONE POINT of a function rather than a range of points. Instantanoues velocity is the velocity of an object at a specific point in time rather than an average over a period of time. The derivative of a function at a point is the instantaneous rate of change which in turn is the limit of average rates of change of short intervals about the point.

Challenges
Summarizing the entire chapter was difficult considering I did not understand most of it especially the bit about the limits. And thus reflecting also is difficult.

Reflections
I feel as though finding out what, say, the speed of a car was at a specific second in its journey would be something that pertains to investigations and the like where specific detail like that is needed. It might also be useful for projectiles, so that the necessary thrust is enough to get an object to its desired destination; and this could be with the instantaneous velocity for example.