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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbb2668f-a3de-4415-bde5-46e431f5c230%2F926e4cee-279f-41f5-b665-c206671b0d90%2F6n24z3w_processed.png&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbb2668f-a3de-4415-bde5-46e431f5c230%2F926e4cee-279f-41f5-b665-c206671b0d90%2Fzakpv5h_processed.png&w=3840&q=75)
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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