
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.