# Folium of Descartes

- Author:
- Tim Brzezinski

**In the applet below, d****on't click the checkbox yet!**Please answer the following question first before proceeding to do so.## 1.

The Folium of Descartes has equation .
Use implicit differentiation to find at the point (3, 3).
Then, use the applet to check your result.
(Feel free to move the **gray point** along the curve wherever you'd like.)

## 2.

Algebraically determine the coordinates of the point (x, y) on the curve in Quadrant 1 where the tangent line is horizontal.