Use the appropriate Chain Rule to find aw/as and w/ at for w = y³ - 3x²y, x = es and y = et. Express your solution in terms of s and t only. (−6xy).e¹ + (31²). et дw მა дw du − (−6.xy) · e² + 3y² . t Ət Use this to evaluate Ow/as and aw/ât at s = −1 and t = 2: -6e +3e¹ -6e²+ 12e¹ дw Əs дw Ət

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 appropriate Chain Rule to find aw/as and w/ at for
w = y³ - 3x²y,
x = es and y = et. Express your solution in terms of s and t only.
(−6xy).e¹ + (31²). et
дw
მა
дw
du − (−6.xy) · e² + 3y² . t
Ət
Use this to evaluate Ow/as and aw/ât at s = −1 and t = 2:
-6e
+3e¹
-6e²+ 12e¹
дw
Əs
дw
Ət
Transcribed Image Text:Use the appropriate Chain Rule to find aw/as and w/ at for w = y³ - 3x²y, x = es and y = et. Express your solution in terms of s and t only. (−6xy).e¹ + (31²). et дw მა дw du − (−6.xy) · e² + 3y² . t Ət Use this to evaluate Ow/as and aw/ât at s = −1 and t = 2: -6e +3e¹ -6e²+ 12e¹ дw Əs дw Ət
Use the appropriate Chain Rule to find aw/Os and dw/at for
w = sin(2x + 3y),
x = s+t and y = st. Express your solution in terms of s and t only.
4 cos (2x + 3y)
дw
მა
дw
0
Ət
Use this to evaluate dw/as and dw/ât at s = 0 and t =
?w =
4 ou
Əs
Ət
= 0
Transcribed Image Text:Use the appropriate Chain Rule to find aw/Os and dw/at for w = sin(2x + 3y), x = s+t and y = st. Express your solution in terms of s and t only. 4 cos (2x + 3y) дw მა дw 0 Ət Use this to evaluate dw/as and dw/ât at s = 0 and t = ?w = 4 ou Əs Ət = 0
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