This applet shows how to draw the derivative of a function. Point A can be moved along the curve. The red point has the same x coordinate as A and its y coordinate is the gradient of the function, f. Move the point A along the curve and the red point traces out the derivative curve.
[list=1] [*]For what values are is the derivative positive? [*]For what values are is the derivative negative? [*]How do stationary points on [math]f(x)[/math] translate to points on the derivative curve? [*]How do stationary points on the derivative curve translate to points on the curve of [math]f(x)[/math]? [/list]