Here are the main points that will be addressed in the video. Please read these and think about them as you watch.

  • Local linearity is a condition which allows you to approximate instantaneous rates of change with average rates of change using a very small interval.
  • An average rate of change over a smaller interval will typically result in a more accurate approximation of instantaneous rate of change.
  • Local linearity is represented in a graph by a function which looks more and more like a straight line the more you zoom in on it.
  • If a function has a jump, a corner/cusp, or has a vertical tangent line, the function is not locally linear.