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Home Partial Differentiation Partial Derivates Examples Example 2
 
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Example 2

11_partial_differentiation-169.gif

Figure 11.3.3

A point P(x,y) has distance z =11_partial_differentiation-165.gif from the origin (Figure 11.3.3).

Find the rate of change of z at P(3,4) if:

(a)    P moves at unit speed in the x direction.

(b)    P moves at unit speed in the y direction.

In this problem the round d notation is convenient,

(a)

11_partial_differentiation-166.gif

(b)

11_partial_differentiation-167.gif

 
Home Partial Differentiation Partial Derivates Examples Example 2

Last Update: 2006-11-15