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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 3.2, Problem 49E

To determine

**To estimate:** The total personal income was rising in the year 1999.

Expert Solution

The total personal income was rising by about $1,627,415,600 per year in 1999.

**Derivative rule:**

Product Rule:

**Calculation:**

Let *x* be the number of year,

Since the population was increasing at roughly 9200 per year and the average annual income was increasing at about $1400 per year,

In 1999,

Obtain the total personal income was rising in the year 1999.

Let

That is,

Apply the product rule and simplify the terms,

Substitute 0 for *x,*

Substitute the values

Therefore, the total personal income was rising by about $1,627,415,600 per year in 1999.

**To Explain:** The meaning of each term in the product.

In 1999, the term

In 1999, the term