(a) Express du / ax, du/ ay, and du / az as functions of x, y, and z both by using the chain rule and by expressingu directly in terms of x, y, and z before differentiating. (b) Evaluate du / ax, du / ay, and du / az at the given point (x,y,z). p-q ,p= 2x + 2y + 2z, q = 2x - 2y + 2z, r= 2x + 2y – 2z; (x,y,z) = (V5,2,3) q-r u =

Calculus: Early Transcendentals
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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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(a) Express du / ax, du / ay, and du / dz as functions of x, y, and z both by using the chain rule and by expressing u directly in terms of x, y, and z before differentiating.
(b) Evaluate du/ ax, du / dy, and du / az at the given point (x,y,z).
p-q
u =
.p = 2x + 2y + 2z, q = 2x - 2y + 2z, r= 2x+ 2y - 2z; (x,y,z) = (V5,2,3)
q-r
Transcribed Image Text:(a) Express du / ax, du / ay, and du / dz as functions of x, y, and z both by using the chain rule and by expressing u directly in terms of x, y, and z before differentiating. (b) Evaluate du/ ax, du / dy, and du / az at the given point (x,y,z). p-q u = .p = 2x + 2y + 2z, q = 2x - 2y + 2z, r= 2x+ 2y - 2z; (x,y,z) = (V5,2,3) q-r
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