w = xyz, x = s + 5t, y = s - 5t, z = st? %3D (a) Find dw/ds and aw/dt by using the appropriate Chain Rule. Əw as 3s22 – 25r4 Əw -100sr³ + 2ts° at (b) Find aw/ðs and aw/dt by converting w to a function of s and t before differentiating. Əw 3s?? – 25r as aw 2ts 3 - 100s at

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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w = xyz, x = s + 5t, y = s - 5t, z
= st?
(a) Find dw/ds and ôw/at by using the appropriate Chain Rule.
aw
3s22 – 2514
as
dw
at
-100sr3
+ 2ts3
(b) Find aw/ds and aw/at by converting w to a function of s and t before differentiating.
əw
3s22 – 2514
as
aw
2ts
.3
100st
at
Transcribed Image Text:w = xyz, x = s + 5t, y = s - 5t, z = st? (a) Find dw/ds and ôw/at by using the appropriate Chain Rule. aw 3s22 – 2514 as dw at -100sr3 + 2ts3 (b) Find aw/ds and aw/at by converting w to a function of s and t before differentiating. əw 3s22 – 2514 as aw 2ts .3 100st at
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