The Derivative Curve

Author:
chisanga
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.
  1. For what values are is the derivative positive?
  2. For what values are is the derivative negative?
  3. How do stationary points on translate to points on the derivative curve?
  4. How do stationary points on the derivative curve translate to points on the curve of ?