Since derivatives are derived from limits, there are some circumstances where a function is not differentiable at certain locations, much like when it is not possible to determine the limit at a certain point. Today you will explore some of the circumstances where a function is not differentiable at a point, and the reasons why it is not differentiable.

Things you should know after today:

  • What are the 4 kinds of places where a function may not be differentiable
  • What is local linearity?
  • How can you use your graphing calculator to estimate a numerical derivative, and what are some of the limitations of doing so.
  • How does the intermediate value theorem apply to derivatives>

Resources:

  • Notes

Assignment:

  • p111 #1-23 odds
Attachments:
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