4.11 Find the partial derivatives with respect to x, y, and z of the following functions: (a) f(x, y, z) = ay² + 2byz + cz², (b) g(x, y, z) = cos(axy²z³), (c) h(x, y, z) = ar, where a, b, and c are constants and r = √x² + y² + 2². Remember that to evaluate af/ax you differentiate with respect to x treating y and z as constants.

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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 4CR
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4.11 Find the partial derivatives with respect to x, y, and z of the following functions: (a) f (x, y, z) =
ay² + 2byz + cz², (b) g(x, y, z) = cos(axy²z³), (c) h(x, y, z) = ar, where a, b, and c are constants
and r = √√x² + y² + z². Remember that to evaluate àƒ/əx you differentiate with respect to x treating
y and z as constants.
Transcribed Image Text:4.11 Find the partial derivatives with respect to x, y, and z of the following functions: (a) f (x, y, z) = ay² + 2byz + cz², (b) g(x, y, z) = cos(axy²z³), (c) h(x, y, z) = ar, where a, b, and c are constants and r = √√x² + y² + z². Remember that to evaluate àƒ/əx you differentiate with respect to x treating y and z as constants.
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