Business Calculus MATH 1325

David Katz, instructor

Section by Section List of Test Topics for Exam #3 (Chapter 6) from Calculus With Applications  by Lial et als. (8th edition)

The exam will consist of 20 multiple-choice questions from this list of topics from your homework sections.

  1. In general, know how to use the first and/or second derivative tests to locate extrema
  2. In general, review how to evaluate limits from section (3.1)
  3. In general, know basic business formulas: P = R – C and R = xp
  4. (12.7) Know when to apply L’Hôpital’s Rule (e.g., when limits evaluate to the undetermined form 0/0)
  5. (12.7) Know when NOT to apply L’Hôpital’s Rule (e.g., when limits evaluate to undefined forms like 5/0)
  6. (12.7) Apply L’Hôpital’s Rule to successfully evaluate a limit
  7. (6.1) Locate absolute extrema of a function by checking critical points & endpoints, if any, of the domain
  8. (6.2) Create a function for an applied business problem; specify an appropriate domain for this function
  9. (6.2) Locate maximum or mininum for an applied business problem
  10. (6.4) Know what types of equations work best with implicit differentiation (e.g., equations that are difficult to solve for y)
  11. (6.4) Be able to do implicit differentiation
  12. (6.4) Use implicit differentiation to solve a tangent line problem
  13. (6.5) Solve applied problems with related rates
  14. (6.5) Summarize the given rates in an applied problem with appropriate dy/dx notation
  15. (6.6) Use linear approximation by differentials to approximate basic functions like square-root, exponential, logarithm functions
  16. (6.6) Use differentials to approximate the incremental change in a function

 

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