Below we have a plot of the Folium of Descartes, the curve defined by

*x*

^{3}+

*y*

^{3}= 3

*xy*

By implicit differentation, we found that

*dy*/

*dx*= (

*y*-

*x*

^{2})/(

*y*

^{2}-

*x*).

Consider the point (x, y), which is on the Folium.

Below, we have a plot of the Folium, the point we've considered, and the tangent line. You can move the point anywhere on the loop by dragging it below.

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