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: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
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
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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