mean value theorem

Enter a function in the input box in the left panel.[br][br]Drag the PURPLE dots to set an interval[br][br]Drag the GOLD dot to study the slope of f(x) in that interval.[br][br]Conjectures ?[br][br]Proofs ?[br][br]Extensions ?[br][br][color=#ff0000][i][b]What questions could/would you pose to your students based on this applet ?[/b][/i][/color]

Information: mean value theorem