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4. Given the following vectors: u = u₁₁ + u₂2 + U3d3 v = v₁₁ + V282 + V3ɗ3 Knowing they are differentiable functions of a scaler y, prove that: d dy dv du ;(u · v) = (u · dy) + (v · dy)

4. Given the following vectors: u = u₁₁ + u₂2 + U3d3 v = v₁₁ + V282 + V3ɗ3 Knowing they are differentiable functions of a scaler y, prove that: d dy dv du ;(u · v) = (u · dy) + (v · dy)

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Question
4. Given the following vectors: u = u₁₁ + u₂2 + U3d3 v = v₁₁ + V282 + V3ɗ3 Knowing they are differentiable functions of a scaler y, prove that: d dy dv du ;(u · v) = (u · dy) + (v · dy)
Transcribed Image Text:4. Given the following vectors: u = u₁₁ + u₂2 + U3d3 v = v₁₁ + V282 + V3ɗ3 Knowing they are differentiable functions of a scaler y, prove that: d dy dv du ;(u · v) = (u · dy) + (v · dy)
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