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Use the Chain Rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t - u, y = stu²; дz дz дz du when s = 2, t = 5, u = 3 as' at

Use the Chain Rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t - u, y = stu²; дz дz дz du when s = 2, t = 5, u = 3 as' at

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 + x²y, x = s + 2t - u, y = stu²; дz дz дz as' t' au when s = 2, t = 5, u = 3 дz əs az at дz = au 40°F Cloudy = = 3584 6656 256 Need Help? Read It Show My Work (Optional) Watch It
Transcribed Image Text:Use the Chain Rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t - u, y = stu²; дz дz дz as' t' au when s = 2, t = 5, u = 3 дz əs az at дz = au 40°F Cloudy = = 3584 6656 256 Need Help? Read It Show My Work (Optional) Watch It
Expert Solution
Step 1

Determine the value of x=s+2t-u when s=2, t=5, and, u=3.

x=s+2t-u=2+25-3=2+10-3=9

Determine the value of y=stu2 when s=2, t=5, and, u=3.

y=stu2=2×5×32=90

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