For any function, you can calculate rates of change on the graph. There are two different rates of change:
- average rate of change over an interval
- instantaneous rate of change at a specifc point or instant in time
The average rate of change can be determined by finding the slope of a secant line using the beginning and ending points of the interval, but to calculate the instantaneous rate of change requires the use of limits.
Things you should know after today:
- difference between a tangent line and a secant line
- how to calculate the slope of a secant line
- how to use the to determine instantaneous rate of change
Resources:
- 1.7 Notes
- 1.8 Solutions (Slopes of Secants and Tangents)
Assignment:
- p87 #1-21 odds