Objectives: In this tutorial, we derive the formula for finding the slope
of a tangent line to a curve defined by an equation in polar coordinates. A couple of examples are worked to illustrate the use of this formula.
After working through these materials, the student should be able
 to find symbolically the slope of the tangent line to the graph of a polar
curve.
Modules:
Theorem. Suppose that r = f(q) is a polar curve. The slope of the tangent line is given by


 Discussion
[using Flash]
 Examples.
 Find slope of tangent line to r(q) = 2 + 3 cos(8q) at q = 3 p/4.
Discussion
[using Flash]
 Find slope of tangent line to r = sin(5q)
at q = p/3.
Discussion
[Using LiveMath]