Page 25 - Calc for the Clueless

Note

This is not the product rule.

Sometimes you will have other combinations of the rules. After a short while, you will find the rules relatively
easy. However, the algebra does require practice.

Example 14—

5
8
2
Find y' if y = (x + 1) (6x + 7) .
This problem involves the product rule. But in each derivative, we will have to use the chain rule.

The calculus is now finished. We now must simplify by factoring. There are two terms, each underlined. From
each we must take out the largest common factor. The largest number that can be factored out is 2. No x can be
2
factored out. The lowest powers of x + 1 and 6x + 7 can be factored out. We take out (x + 1) and (6x + 7) .
4
7
2

Let us try one more using the quotient rule and chain rule.

Example 15—

When not to use the product or quotient rule:

Example A—

Do not use product rule since 5 is a
constant.