Product rule and quotient rule

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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.