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Home Differentiation Chain Rule Examples Example 8
 
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Example 8

02_differentiation-384.gif

Figure 2.6.4

A particle moving according to the parametric equations

x = cos t, y = sin t

will move counterclockwise around the unit circle at one radian per second beginning at the point (1, 0), as shown in Figure 2.6.4. Find the slope of its path at time t.

02_differentiation-381.gif

The slope is

02_differentiation-382.gif

In terms of x and y the slope is

02_differentiation-383.gif

 
Home Differentiation Chain Rule Examples Example 8

Last Update: 2006-11-15