Identify the graphs (blue), B (red), and C (green) as the graphs of the function f(x) and its derivatives f'(x) and f''(x). Clicking on the sketch will give you a version of the picture in a separate window.
is the graph of the function, f(x).
is the graph of the function's first derivative, f'(x).
is the graph of the function's second derivative, f''(x).
Hint: Remember that f'(x) is itself a function, and we can find the derivative of the function f'(x), which is called the second derivative of the function f(x) and denoted by f''(x).