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.
(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
at the point (0
0) on both graphs. What goes wrong?