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CHAPTER 13 Partial Derivatives

13.3 Partial Derivatives

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Introduction

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Computing a Partial Derivative

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Alternative Symbols

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Geometric Interpretation

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FIGURE 13.3.1 Partial derivatives ∂z/∂x and ∂z/∂y are slopes of tangent lines to a curve C of intersection of the surface and a plane parallel to the x- or y-axes

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FIGURE 13.3.1 Partial derivatives ∂z/∂x and ∂z/∂y are slopes of tangent lines to a curve C of intersection of the surface and a plane parallel to the x- or y-axes

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FIGURE 13.3.2 Slope of tangent lines in Example 4

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Functions of Three or More Variables

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Higher-Order and Mixed Derivatives

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Alternative Symbols

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Equality of Mixed Partials

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