Business Calculus MATH 1325

David Katz, instructor

Section by Section List of Test Topics for Exam #2 (Chapters 4, 5) 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 the various symbols used for first derivative and second derivative
  2. In general, know to apply the product and quotient rules before other derivative rules
  3. (4.3) Find the derivative using the chain rule
  4. (4.4) Find derivatives of exponential functions of base e
  5. (4.4) Find derivatives of exponential functions of base other than e
  6. (4.4) Be able to combine rules for derivatives of exponential functions with other derivative rules like the chain rule
  7. (4.5) Find derivatives of logarithm functions of base e
  8. (4.5) Find derivatives of logarithm functions of base other than e
  9. (4.5) Be able to combine rules for derivatives of logarithm functions with other derivative rules like the chain rule
  10. (5.1) Use derivative to find intervals where a function in increasing or decreasing
  11. (5.1) Be able to use test values to determine if the derivative is positive or negative
  12. (5.1) Locate critical values of a function
  13. (5.1) Know that critical values are where the first derivative = 0 or does not exist
  14. (5.2) Use the first derivative test to locate local maxima and minima
  15. (5.2) Know that maxima and minima occur at critical values, but not all critical values lead to maxima and minima (p.284)
  16. (5.3) Compute the second derivative of a function
  17. (5.3) Use the second derivative to locate intervals of concave up and concave down
  18. (5.3) Use the second derivative test to locate maxima and minima
  19. (5.3) Know that the point of inflection is the x-value at which concavity changes
  20. (5.3) Understand that at the point of inflection the second derivative = 0 or does not exist, but the converse is not true (p.302)
  21. (5.3) Be able to compute the n-th derivative of a function
  22. (5.4) Analyze the definition of a function to locate horizontal, oblique, and vertical asymptotes, and hole(s) of the graph.
  23. (5.4) Sketch graphs of functions using your knowledge of limits and the first & second derivative tests

 

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