(a) How many nth-order partial derivatives does a function of two variables have? 2" (b) If these partial derivatives are all continuous, how many of them can be distinct? 2" (c) Answer the question in part (a) for a function of three variables.
(a) How many nth-order partial derivatives does a function of two variables have? 2" (b) If these partial derivatives are all continuous, how many of them can be distinct? 2" (c) Answer the question in part (a) for a function of three variables.
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
Section9.2: Partial Derivatives
Problem 28E
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