# How did the book get to (7.12)?

• TheFerruccio
In summary, The conversation involves a person trying to understand the multivariable chain rule and struggling with understanding the steps shown in example 7.12. They mention being able to FOIL the operators and getting terms 1, 3, 5, and 7, but not understanding where terms 2, 4, and 6 come from. The other person mentions the use of the product rule and reminds the first person that 1/r is a function of r, and c and s are functions of θ.
TheFerruccio

## Homework Statement

I am reading through a chapter on the multivariable chain rule, and I was able to follow the steps up until 7.12. It is photographed below.

## The Attempt at a Solution

Of the terms listed, I am able to FOIL the operators out, understanding that, because the statement has operators, that commutativity is not necessarily true. From this, I was able to get, of the 7 terms listed in 7.12, terms 1, 3, 5, 7. I do not know where they get terms 2, 4, 6 from.

What am I missing in my multiplication of operators?

Don't forget the product rule; 1/r is a function of r, and c and s are functions of θ.

## 1. How did the book get to (7.12)?

The book most likely got to (7.12) through a process of publishing and distribution. The author wrote the book, it was then edited and formatted, and finally sent to a publisher who printed and distributed it to bookstores.

## 2. Is there a specific reason why the book is at (7.12)?

The book's location at (7.12) is most likely determined by the bookstore's organizational system. Each bookstore may have a different system for organizing books, such as by genre, author, or publication date, which can determine where the book is placed.

## 3. Can books be moved to a different location in the bookstore?

Yes, books can be moved to a different location in the bookstore. Sometimes bookstores will rearrange their inventory or have special displays that feature certain books. Customers can also move books around while browsing, which can result in them being in a different location than their designated spot.

## 4. Is there a specific order in which books are placed on the shelves?

Yes, there is a specific order in which books are placed on shelves. Bookstores typically organize books alphabetically by the author's last name or by the book's title. Some bookstores may also group books by genre or subject matter.

## 5. How long does it take for a book to get to (7.12)?

The amount of time it takes for a book to get to (7.12) varies depending on the publishing and distribution process. It can take several months for a book to be written, edited, published, and shipped to bookstores. However, if the book is in high demand, it may be restocked more frequently and get to (7.12) faster.

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