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 =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 44E

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