December 2020
Intermediate to advanced
1064 pages
49h 13m
English
Content preview from Advanced Engineering Mathematics, 7th Edition
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9.4 Partial Derivatives
INTRODUCTION
In this section we consider functions of two or more variables and how to find the instantaneous rate of change—that is, the derivative—of such functions with respect to each variable.
Functions of Two Variables
Recall from calculus that a function of two variables is a rule of correspondence that assigns to each ordered pair of real numbers (x, y) of a subset of the xy-plane one and only one number z in the set R of real numbers. The set of ordered pairs (x, y) is called the domain of the function and the set of corresponding values of z is called the range. A function of two variables is usually written ...
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