1. Chapter 14
Partial Derivatives

2. Functions of Several Variables
14.1
Functions of Several Variables

21. Limits and Continuity in Higher Dimensions
14.2
Limits and Continuity in Higher Dimensions

35. 14.3
Partial Derivatives

53. 14.4
The Chain Rule

71. Directional Derivatives and Gradient Vectors
14.5
Directional Derivatives and Gradient Vectors

87. Tangent Planes and Differentials
14.6
Tangent Planes and Differentials

103. Extreme Values and Saddle Points
14.7
Extreme Values and Saddle Points

123. 14.8
Lagrange Multipliers

136. Taylor’s Formula for Two Variables
14.9
Taylor’s Formula for Two Variables

140. Partial Derivatives with Constrained Variables
14.10
Partial Derivatives with Constrained Variables