3. Use the Chain Rule to find the indicated partial derivatives. (a) w = x² + y² + z², x = st, y = s : st, y = scos(t), z = s sin(t); მო Ow when s = მო მ8 Ət = 4, t = π/3 (b) w = xy+yz + zx, x = r cos(0), y = r sin(0), z = r0; მც aw when r= = 2,0 = π/2 Ər 20 (c) u = xety, x = a²ß, y = ẞ², t = y²α; ди ди au ди მი მØ = au when a = −1, ẞ = 2, y = 1 მე

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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3. Use the Chain Rule to find the indicated partial derivatives.
Iw aw when s =
Os' at
st, y = s cos(t), z = s sin(t);
4, t = π/3
(a) w
=
= x² + y² + z², x =
(b) w
(c)
=
xy+yz + zx, x = r cos(0), y = r sin(0), z = = r0;
Iw aw when r = 2,0 = π/2
მე მ0
u =
xet x = = α²ß, y = ß²² √, t = y²α;
,"
ди ди au when a =
მტ· მეჯ
θα
−1, 3 = 2, y = 1
Transcribed Image Text:3. Use the Chain Rule to find the indicated partial derivatives. Iw aw when s = Os' at st, y = s cos(t), z = s sin(t); 4, t = π/3 (a) w = = x² + y² + z², x = (b) w (c) = xy+yz + zx, x = r cos(0), y = r sin(0), z = = r0; Iw aw when r = 2,0 = π/2 მე მ0 u = xet x = = α²ß, y = ß²² √, t = y²α; ," ди ди au when a = მტ· მეჯ θα −1, 3 = 2, y = 1
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