1
C H A P T E R 1
Advanced Derivatives
is chapter deals with the issues of derivatives of functions that have multiple independent
variables. In our earlier studies we learned to take derivatives of functions of the form y D f .x/.
Now we will learn to work with functions of the form z D f .x; y/, functions that graph as
surfaces in a space like the one shown in Figure 1.1.
x
z
y
-10
-10
-10
-5
-5
-5
5
5
5
10
10
10
(0,0,0)
origin
Figure 1.1: ree-dimensional coordinate system.
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