In the applet below, note the three colored function graphs [i]a[/i], [i]b[/i], and [i]c[/i]. [br][br][b][color=#0000ff]Function [i]a[/i] is shown as a blue graph.[/color][/b][br][color=#980000][b]Function [i]b[/i] is shown as a brown graph.[/b][/color][br][color=#9900ff][b]Function [i]c[/i] is shown as a purple graph.[/b] [/color] [br][br]In each problem you generate here, [br][br]One graph represents an original function [math]y=f\left(x\right)[/math] . [br]Another graph shown is the graph of the derivative of function [i]f:[/i] [math]y=f'\left(x\right)[/math]. [br]The remaining graph is the graph of the 2nd derivative of function [i]f:[/i] [math]y=f''\left(x\right)[/math][br][br][b]Your goal is to determine which graph is which. [br][/b]Simply check one of the checkboxes under each label on the top right side. [br]After doing so, click "Check Answer". If your answers are not correct, work at correcting them. [br][br][b]Note: [/b]You can zoom out if you would like to see all 3 graphs more from a distance. [br][br]For a resource that dynamically illustrates the relationship between the graph of a function and the graph of its derivative function, see the GeoGebra applet BELOW THIS QUIZ APPLET. [br][br]Select the [b]New Problem[/b] button to create a new problem.