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>
- p111 #1-23 odds