Calc10_1 - 10.1 Parametric functions Photo by Vickie Kelly,...

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10.1 Parametric functions Greg Kelly, Hanford High School, Richland, Washington Photo by Vickie Kelly, 2008 Mark Twain’s Boyhood Home Hannibal, Missouri
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Greg Kelly, Hanford High School, Richland, Washington Photo by Vickie Kelly, 2008 Mark Twain’s Home Hartford, Connecticut
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In chapter 1, we talked about parametric equations. Parametric equations can be used to describe motion that is not a function. ( 29 ( 29 x f t y g t = = If f and g have derivatives at t , then the parametrized curve also has a derivative at t .
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The formula for finding the slope of a parametrized curve is: dy dy dt dx dx dt = This makes sense if we think about canceling dt .
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The formula for finding the slope of a parametrized curve is: dy dy dt dx dx dt = We assume that the denominator is not zero.
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derivative of a parametrized curve, we find the derivative of the first derivative: dy dt dx dt = 2 2 d y dx ( 29 d y dx = 1. Find the first derivative ( dy/dx ). 2.
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This note was uploaded on 02/12/2011 for the course MAC 2233 taught by Professor Smith during the Spring '08 term at University of Florida.

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Calc10_1 - 10.1 Parametric functions Photo by Vickie Kelly,...

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