Graphing a Polynomial Equation :: Curve Sketching Using Calculus 

In this video I describe the steps in the process of using Calculus to draw the graph of a polynomial function.
To accurately sketch a function's graph, Calculus can be used to find:
Critical Numbers
Intervals where f(x) is increasing/decreasing
Extrema (maximum and minimum points)
Possible Points of Inflection
Intervals of Concavity
Points of Inflection
I describe what each of these concepts are and slowly work through the process of identifying them in an example.
If you have any questions, feel free to ask in the comments section.