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