After completing this section, students should be able to do the following.

  • Identify products of functions.
  • Use the product rule to calculate derivatives.
  • Identify quotients of functions.
  • Use the quotient rule to calculate derivatives.
  • Combine derivative rules to take derivatives of more complicated functions.
  • Explain the signs of the terms in the numerator of the quotient rule.
  • Multiply tangent lines to justify the product rule.
  • Use the product and quotient rule to calculate derivatives from a table of values.