For example 3, the function h(x) = 1/x is undefined at the point x=0. Hence, its derivative (-1/x^2) is also not defined at x=0. If a function is not continuous at a point, then it does not have a derivative at that point. Below are a few scenarios, where a function is not differentiable:

- If the function is not defined at a point
- Function does not have a limit at that point
- If the function is not continuous at a point
- The function has a sudden jump at a point

Following are a few examples:

Examples of Points at Which there is no Derivative

## Extensions

This section lists some ideas for extending the tutorial that you may wish to explore.

- Velocity and instantaneous rates of change
- Rules for derivatives
- Integration