se z = x² sin y, x = 1s² + 1t², y = -6st. the chain rule to find oz and as function: as Əz d the numerical values of and when Əz Is Əz

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...
Question
Suppose z = x² sin y, x =
1s² + 1t², y = −6st.
A. Use the chain rule to find oz and Oz as functions of x,
az
მs
Ət
x, y, s
and t.
Əz
მs
Əz
Ət
Əz
B. Find the numerical values of 0 and when
(s, t) = (−1, 3).
მs
Əz (-1,3)=
Ət
Əz (−1, 3) =
Transcribed Image Text:Suppose z = x² sin y, x = 1s² + 1t², y = −6st. A. Use the chain rule to find oz and Oz as functions of x, az მs Ət x, y, s and t. Əz მs Əz Ət Əz B. Find the numerical values of 0 and when (s, t) = (−1, 3). მs Əz (-1,3)= Ət Əz (−1, 3) =
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