First Derivative Test

Enter a function f(x) and use the x slider to move the point P along the curve f. Note the location of the corresponding point on the graph of f'(x). Where is the red point when P is on the part of f that is decreasing or decreasing? When the red point is on the x-axis, what is happening on the graph of f? When the red point is at a maximum or minimum of f'(x), what is happening on the graph of f? To change the viewing window, hold the shift button and left-click to drag the graph or use the scroll wheel to zoom in/out. You can also adjust the axes by holding the shift button and left-click on the axis you want to change.