Suppose z = x² sin y, x = -4s² + t², y = -2st. A. Use the chain rule to find and Əs Ət = as functions of x, y, s and t.

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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I tried this problem before and none of the solutions worked. I'm very unsure how to do this one and the answers a previous expert gave were also incorrect. Any help with this that isn't the previous experts answer would be greatly appreciated.

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Suppose z = x² sin y, x =
A. Use the chain rule to find
дz
მs
dz
Ət
-4s² + t²,
·(4, 4) =
Əz
and
Əz
Ət
= -2st.
y =
B. Find the numerical values of and when (s, t) = (4,4).
Əz
(4,4)=
as functions of x, y, s and t.
Transcribed Image Text:Suppose z = x² sin y, x = A. Use the chain rule to find дz მs dz Ət -4s² + t², ·(4, 4) = Əz and Əz Ət = -2st. y = B. Find the numerical values of and when (s, t) = (4,4). Əz (4,4)= as functions of x, y, s and t.
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