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Home  Partial Differentiation Total Differentials and Tangent Planes Examples Example 1: Increment and Total Differential (Product Function) |
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Example 1: Increment and Total Differential (Product Function)
Find the increment and total differential of the product function z = xy (Figure 11.4.2). Increment: Δz = (x + Δx)(y + Δy) - xy = y Δx + x Δy + Δx Δy. Total differential: dz = (∂z/∂x) dx + (∂z/∂y) dy = y dx + x dy.
Figure 11.4.2
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Last Update: 2010-11-25