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Question 5 (a) Determine the partial derivatives of the following functions with respect to each of the independent variables: (i) f(x, y, z) = xyz (ii) f(x, y, z) = (xy+z)e² xyz (iii) f(x, y, z)= xy + z

Question 5 (a) Determine the partial derivatives of the following functions with respect to each of the independent variables: (i) f(x, y, z) = xyz (ii) f(x, y, z) = (xy+z)e² xyz (iii) f(x, y, z)= xy + z

Calculus For The Life Sciences
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.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 36E
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Question 5 (a) Determine the partial derivatives of the following functions with respect to each of the independent variables: (i) f(x, y, z) = xyz (ii) f(x, y, z) = (xy+z)e² xyz (iii) f(x, y, z)= xy + z
Transcribed Image Text:Question 5 (a) Determine the partial derivatives of the following functions with respect to each of the independent variables: (i) f(x, y, z) = xyz (ii) f(x, y, z) = (xy+z)e² xyz (iii) f(x, y, z)= xy + z
(b) Characterise those functions for which the Chain Rule is needed in finding the derivatives.
Transcribed Image Text:(b) Characterise those functions for which the Chain Rule is needed in finding the derivatives.
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