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# 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
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 .
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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To find the second 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 ).
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Calc10_1 - 10.1 Parametric functions Photo by Vickie Kelly...

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