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Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu² дz Əs əz at дz ди = || = əz əz əz 7 T as at du when s = 3, t = 4, u = 2

Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu² дz Əs əz at дz ди = || = əz əz əz 7 T as at du when s = 3, t = 4, u = 2

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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Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu² дz Əs дz at əz ди || || = дz дz дz 7 as at du when s= 3, t = 4, u = 2
Transcribed Image Text:Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu² дz Əs дz at əz ди || || = дz дz дz 7 as at du when s= 3, t = 4, u = 2
Suppose f is a differentiable function of x and y, and g(r, s) = f(9r – s, s² – 3r). Use the table of values below to calculate g₁(8, 6) and g(8, 6). fx fy 9,(8, 6) 95(8, 6) = (66, 12) (8, 6) fg 5 3 3 5 2 6 1 7
Transcribed Image Text:Suppose f is a differentiable function of x and y, and g(r, s) = f(9r – s, s² – 3r). Use the table of values below to calculate g₁(8, 6) and g(8, 6). fx fy 9,(8, 6) 95(8, 6) = (66, 12) (8, 6) fg 5 3 3 5 2 6 1 7
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