Let f(x, y, z) = xy + z³, x=r+s - 5t, y = 3rt, z = s4. Use the Chain Rule to calculate the partial derivatives. (Use symbolic notation and fractions where needed. Express the answer in terms of independent variables.) af dr af dt =

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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Let f(x, y, z) = xy + z², x = r + s − 5t, y = 3rt, z = sª.
Use the Chain Rule to calculate the partial derivatives.
(Use symbolic notation and fractions where needed. Express the answer in terms of independent variables.)
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Transcribed Image Text:Let f(x, y, z) = xy + z², x = r + s − 5t, y = 3rt, z = sª. Use the Chain Rule to calculate the partial derivatives. (Use symbolic notation and fractions where needed. Express the answer in terms of independent variables.) af ər af Ət || ||
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