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Suppose the appropriate partial derivatives exist and continmos. Suppose also that f is a real value function on R" and F is a vecitor field. Prove that div (JF) = / div F+F.V

Suppose the appropriate partial derivatives exist and continmos. Suppose also that f is a real value function on R" and F is a vecitor field. Prove that div (JF) = / div F+F.V

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose the appropriate partial derivatives exist and contimmous. Suppose also that f is a real value function on R' and F is a vector feld. Pruve that div (F) =/ div F+F. V
Transcribed Image Text:Suppose the appropriate partial derivatives exist and contimmous. Suppose also that f is a real value function on R' and F is a vector feld. Pruve that div (F) =/ div F+F. V
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