Unformatted text preview: the locus of an equation via implicit di²erentiation: for example to ±nd the slope of the tangent to the ellipse (Figure 3.2 ) x 2 + 4 y 2 = 8 (3.12) at the point (2 , − 1), we think of y as a function of x and di²erentiate both sides to obtain 2 x + 8 y dy dx = 0; (3.13) then substituting x = 2 and y = − 1 yields 4 − 8 dy dx = 0...
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
 Fall '08
 ALL
 Calculus, Asymptotes

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