# Chapter 17: The Product Rule and Differentiating Vectors

##

## Introduction

The product rule for differentiation applies as well to vector derivatives.
In fact it allows us to deduce rules for forming the divergence in non-rectangular
coordinate systems. This can be accomplished by finding a vector pointing in
each basis direction with 0 divergence.

## Topics

17.1 Introduction

17.2 The Product Rule and the Divergence

17.3 The Divergence in Spherical Coordinates

17.4 The Product Rule and the Curl