Verify that the conclusion of Clairaut's theorem holds, that is, u, Uxy = "yx' u = x'y8 – y? With u = x'y8 - y', we have the following. ,7,8 Ux = Uxy Uy Uyx %3D Since u, = uvx Clairaut's theorem holds for u = x7y8 – y7. ху II II II

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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Uyx
= U
Uxy
Verify that the conclusion of Clairaut's theorem holds, that is, u,
u = x'y8 – y?
With u = x'y8 – y', we have the following.
= X'
Uxy
U yx
Clairaut's theorem holds for u = x'y8 – y?.
Uyx'
Since u,
Uxy
Transcribed Image Text:Uyx = U Uxy Verify that the conclusion of Clairaut's theorem holds, that is, u, u = x'y8 – y? With u = x'y8 – y', we have the following. = X' Uxy U yx Clairaut's theorem holds for u = x'y8 – y?. Uyx' Since u, Uxy
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