Let f(x, y, z) = xy³ + z and x = st³, y = st³, and z = = s²t². (a) Calculate the primary derivatives af əx af ду af əz ду მs || (b) Calculate Əx Əs дz Əs || || || || || (c) Use the Chain Rule to compute af Əs In (c) express your answer in terms of the independent variables t, s =

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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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Let f(x, y, z) = xy³ + z and x = = st³, y = st³, and z =
= s²t².
(a) Calculate the primary derivatives
af
?x
af
ду
af
əz
?x
Əs
(b) Calculate
ду
Əs
||
əz
მs
|| ||
||
||
||
(c) Use the Chain Rule to compute
af
Əs
In (c) express your answer in terms of the independent variables t, s
=
Transcribed Image Text:Let f(x, y, z) = xy³ + z and x = = st³, y = st³, and z = = s²t². (a) Calculate the primary derivatives af ?x af ду af əz ?x Əs (b) Calculate ду Əs || əz მs || || || || || (c) Use the Chain Rule to compute af Əs In (c) express your answer in terms of the independent variables t, s =
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