Let f(x, y, z) = x4y²+ z² and x = = st³, y = s²t³, and z = st. (a) Calculate the primary derivatives af მთ af მყ af Əz (b) Calculate მე Is მყ მs Əz Is - (c) Use the Chain Rule to compute af მs = In (c) express your answer in terms of the independent variables t, s
Let f(x, y, z) = x4y²+ z² and x = = st³, y = s²t³, and z = st. (a) Calculate the primary derivatives af მთ af მყ af Əz (b) Calculate მე Is მყ მs Əz Is - (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
Transcribed Image Text:Let f(x, y, z) = x4y²+ z² and x = = st³, y = s²t³, and z =
st.
(a) Calculate the primary derivatives
af
მთ
af
მყ
af
Əz
(b) Calculate
მე
Is
მყ
მs
Əz
Is
-
(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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