The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.

Home Partial Differentiation Implicit Functions Examples Example 3: Slope
 
del.icio.us Reddit Facebook StumbleUpon MySpace Twitter Search the VIAS Library  |  Index

Example 3: Slope

Find the slope dy/dx of the circle

x2 + y2 - 4 = 0

at the point (1, √3) (see Figure 11.6.5).

11_partial_differentiation-375.gif

Figure 11.6.5

Put

z = x2 + y2 - 4 = 0.

At a point (x, y),

11_partial_differentiation-376.gif

At the given point (1, √3),

11_partial_differentiation-377.gif

In this problem we can solve for y as a function of x and check the answer directly.

11_partial_differentiation-378.gif
Home Partial Differentiation Implicit Functions Examples Example 3: Slope

Last Update: 2006-11-15