Chapter 14 Partial Derivatives.

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Presentation transcript:

Chapter 14 Partial Derivatives

Functions of Several Variables 14.1 Functions of Several Variables

Limits and Continuity in Higher Dimensions 14.2 Limits and Continuity in Higher Dimensions

14.3 Partial Derivatives

14.4 The Chain Rule

Directional Derivatives and Gradient Vectors 14.5 Directional Derivatives and Gradient Vectors

Tangent Planes and Differentials 14.6 Tangent Planes and Differentials

Extreme Values and Saddle Points 14.7 Extreme Values and Saddle Points

14.8 Lagrange Multipliers

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

Partial Derivatives with Constrained Variables 14.10 Partial Derivatives with Constrained Variables