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Unformatted text preview: the locus of an equation via implicit dierentiation: 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 dierentiate 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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 Fall '08
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 Calculus, Asymptotes

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