After completing this section, students should be able to do the following.
- State how continuity and differentiability are related.
- State/Demonstrate the difference between a condition that is ’sufficient’ and one that is ’necessary’.
- Interpret prime notation as a derivative function.
- Give reasons why computing a derivative as a function may be better than using concrete values.
- Compute basic difference quotients as functions rather than concrete values.
- Determine if a function is differentiable at a point