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
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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 33E
Related questions
Question
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,