The following problems require the use of the product rule. In the following discussion and solutions the derivative of a function h(x) will be denoted by tex2html_wrap_inline46 or h'(x) . The product rule is a formal rule for differentiating problems where one function is multiplied by another. The rule follows from the limit definition of derivative and is given by

tex2html_wrap_inline50 .

Remember the rule in the following way. Each time, differentiate a different function in the product and add the two terms together. In the list of problems which follows, most problems are average and a few are somewhat challenging. In most cases, final answers to the following problems are given in the most simplified form.

The following problems require use of the chain rule.

Click HERE to return to the original list of various types of calculus problems.

Your comments and suggestions are welcome. Please e-mail any correspondence to Duane Kouba by clicking on the following address :


Duane Kouba
Fri May 30 13:25:21 PDT 1997