Identify the graphs A (blue), B(red) and C (green) as the graphs of a function [math] and its derivatives [math] and [math].
(Clicking on the sketch will give you a version of the picture in a separate window.)

is the graph of the function, [math] .
is the graph of the function's first derivative, [math] .
is the graph of the function's second derivative, [math] .

Hint: Remember that [math] is itself a function, and we can find the derivative of the function [math], which is called the second derivative of the function [math] and denoted by [math].