Example of Continuous Nowhere-Differentiable Function
Instructions
Use this dynamic activity to explore an example of continuous nowhere-differentiable function. You can zoom in the graph to observe more details.
Reflection Questions
Recall the demonstration of the absolute value function |x| and the differentiability of it. At which points the function here is not differentiable when n=0? What about the differentiability of the function when n=1, 2, 3, etc.? What would happen when n?