Verify that the conclusion of Clairaut's theorem holds, that is, Uxy = Uyx" u = x5y8 - y5 With u = x5y8y5, we have the following. 5x4 U xy = Uyx = "y=40x4₂7 40x¹y7 = 8x5y7 - 5y4 × Since u xy X = U Clairaut's theorem holds for u = x5y8-y5. 'yx'
Verify that the conclusion of Clairaut's theorem holds, that is, Uxy = Uyx" u = x5y8 - y5 With u = x5y8y5, we have the following. 5x4 U xy = Uyx = "y=40x4₂7 40x¹y7 = 8x5y7 - 5y4 × Since u xy X = U Clairaut's theorem holds for u = x5y8-y5. 'yx'
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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