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Q56Section I (Objective (Q1–Q80))56 of 80

Numerical Analysis — verifying two forms of the product-difference rule

Consider the following: 1. Δ(uxvx)=uxΔvx+vx+1Δux\Delta(u_{x}v_{x}) = u_{x}\Delta v_{x} + v_{x+1}\Delta u_{x} 2. Δ(uxvx)=vxΔux+ux+1Δvx\Delta(u_{x}v_{x}) = v_{x}\Delta u_{x} + u_{x+1}\Delta v_{x} Which of the above equalities is/are valid?

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