# Chapter 17: The Product Rule and Differentiating Vectors

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## 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