ws6.pdf - Worksheet Math 124 Week 6 Worksheet for Week 6...

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Worksheet Math 124 Week 6 Worksheet for Week 6: Implicit Di erentiation and Parametric Curves In this worksheet, you’ll use parametrization to deal with curves that have more than one tangent line at a point. Then you’ll use implicit di erentiation to relate two derivative functions, and solve for one using given information about the other. Curve A: y 2 = x 2 ( x + 1) Curve B: y 2 (1 - 1 2 y ) = x 2 1. (a) Use impicit di erentiation to find all the points in Curve A with a horizontal tangent line. (Looking at the graph, how many such points should there be?) (b) What about Curve B?
(c) Try to find dy dx at the point (0 , 0) on both graphs. What goes wrong?

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