Section 2.4: Reading questions on the product rule

Read Example 51 on pages 86-87 in the APEX Calculus textbook (version 3). Using Example 51 as a guide, answer the following questions.
Suppose . Here are two different ways to compute the derivative of this function.

First, expand the given product and then compute the derivative.

First, apply the product rule and then simplify the result.
(simplified)