Implicit Differentiation Group Problems 1. Find the slopes of the “Devil’s Curve” y 4  4 y 2  x 4  9 x 2 at the points (‐3, 2), (‐3, ‐2), (3, 2) and (3, ‐2). 2. Given the equation for the Folium of Descartes x 3  y 3  9 xy  0 a) Find the slopes of the curve at the points (4, 2) and (2, 4). b) At what point other than the origin does the folium have a horizontal tangent? c) Find the coordinates of the point where the folium has a vertical tangent. 3. Find all points on the circle x 2  y 2  100 where the slope is 3
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