Let f(x, y, z) = x²y + z and x = st², y = s³t², and z = 8²+². (a) Calculate the primary derivatives af af მყ 53558 მე (b) Calculate Ox მs მყ მs Əz მs (c) Use the Chain Rule to compute af მs 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...
Question
Please answer C
Let f(x, y, z) = x²y + z and x = st², y = s³t², and
z = 8²+².
(a) Calculate the primary derivatives
af
af
მყ
53558
მე
(b) Calculate
Ox
მs
მყ
მs
Əz
მs
(c) Use the Chain Rule to compute
af
მs
In (c) express your answer in terms of the independent
variables t, s
Transcribed Image Text:Let f(x, y, z) = x²y + z and x = st², y = s³t², and z = 8²+². (a) Calculate the primary derivatives af af მყ 53558 მე (b) Calculate Ox მs მყ მs Əz მs (c) Use the Chain Rule to compute af მs In (c) express your answer in terms of the independent variables t, s
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