Message #194531

[Michaelz]

Here's a link to some examples of finding inflection points:

http://www.clas.ucsb.edu/staff/lee/Inflection%20Points.htm

The basic steps are to take the second derivative and determine the roots (where the equation is 0).  Then you have to check that the concavity is changing at that point of the function.

In this example the 2nd derivative will have c as a variable.  You need to determine for what values of c the function (the 2nd derivative) has 0, 1, 2, etc. roots.