Examples of Function Differentiability
Instructions
Use this dynamic activity to explore three typical examples of function differentiability. Select different pages to check different functions. Observe the graphs of the Secant Slope Function at point c (SSFc) and f'(c).
Reflection Questions
Are these functions differentiable? If not, the function is not differentiable at which point? Can you tell the function is not differentiable at point c from the SSFc and/or f'(c) graphs? With the references of the SSFc and f'(c) graphs, how to prove that the function is not differentiable at certain point c?