Let f(x, y, z) = xy² + z and x = s²t³, y = st, and z = = $³4³. (a) Calculate the primary derivatives of= 55 55 af = 2xy dy of (b) Calculate მყ as = dz = 8s მყ = 1 af 8s 3x²+3 (c) Use the Chain Rule to compute € = t 2x7³ = 45³+5+3x²+3 In (c) express your answer in terms of the independent variables t, s =

Let f(x, y, z) = xy² + z and x = s²t³, y = st, and z = = $³4³. (a) Calculate the primary derivatives of= 55 55 af = 2xy dy of (b) Calculate მყ as = dz = 8s მყ = 1 af 8s 3x²+3 (c) Use the Chain Rule to compute € = t 2x7³ = 45³+5+3x²+3 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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