AP Calculus AB: Section 3.6A (Curve Sketching Applications)

Students will learn how to interpret given function, first derivative and second derivative information to create a sketch of a graph. Students will learn how to go back and forth between graphs of functions and the graphs of their first derivatives. Students will learn how to use the graph of the first derivative to determine when the original function would have been increasing and decreasing, concave up and concave down as well as determine the x-values of the relative extrema and points of inflection.