Question 8 < Chain Rule (Multiple independent variables) Given f(x, y) = sin(x + y) where x = st4, y = 6s 4t. Find fs(x(s, t), y(s, t)) = ft(x(s, t), y(s, t)) = Note: This question is looking for the answer to be only in terms of s and t. Question Help: Video Submit Question
Question 8 < Chain Rule (Multiple independent variables) Given f(x, y) = sin(x + y) where x = st4, y = 6s 4t. Find fs(x(s, t), y(s, t)) = ft(x(s, t), y(s, t)) = Note: This question is looking for the answer to be only in terms of s and t. Question Help: Video Submit Question
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![### Chain Rule (Multiple Independent Variables)
**Given:**
\[ f(x, y) = \sin(x + y) \]
where
\[ x = s^6t^4, \]
\[ y = 6s - 4t. \]
**Find:**
\[ f_s(x(s, t), y(s, t)) = \]
\[ f_t(x(s, t), y(s, t)) = \]
**Note:** This question is looking for the answer to be only in terms of \( s \) and \( t \).
**Question Help:** [Video]
**Button:** Submit Question](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a3f3121-07ef-4e2d-8122-d3ccd0e5a601%2Ffbe6f4fb-aca5-4a6e-a5ec-ede0f35d07e9%2Fn8vbf0t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Chain Rule (Multiple Independent Variables)
**Given:**
\[ f(x, y) = \sin(x + y) \]
where
\[ x = s^6t^4, \]
\[ y = 6s - 4t. \]
**Find:**
\[ f_s(x(s, t), y(s, t)) = \]
\[ f_t(x(s, t), y(s, t)) = \]
**Note:** This question is looking for the answer to be only in terms of \( s \) and \( t \).
**Question Help:** [Video]
**Button:** Submit Question
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