# AP Calculus

# Implicit Function Graphing Tool

"Standard" graphing software, such as the typical graphing
calculator, will only graph explicit functions - that is, functions
of the form y = f(x), such as y = x^{2} - 2x + 1, or y = sin
x, but will not graph implicit functions, such as x^{2} + xy
- 2y^{2} = 6, or x = sin y. Since implicitly-defined
functions can be difficult and time-consuming to graph by hand, to
graph an implicitly-defined function one must either solve for y
(which can be "difficult to impossible"), try converting to polar
coordinates (which only helps occasionally) or do without the
graph.
The JAVA applet below is designed to conveniently display the
graphs of implicitly-defined functions. Actually, it will graph
explicit functions quite well also, but it does lack many of the
features a graphing calculator. However, if you want to add a tangent
line to a graph, or something like that - no problem (I hope...).

### For Those Who Read Instructions:

last update April 13, 2008 by JL
Stanbrough