For any function, you can calculate rates of change on the graph.  There are two different rates of change:

  1. average rate of change over an interval
  2. 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
Attachments:
FileDescriptionFile size
Download this file (12.1.7.notes.pdf)12.1.7.notes.pdf 738 kB
Download this file (12.1.8.notes.pdf)12.1.8.notes.pdf 3531 kB

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