The Derivative Curve
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.
- For what values are is the derivative positive?
- For what values are is the derivative negative?
- How do stationary points on translate to points on the derivative curve?
- How do stationary points on the derivative curve translate to points on the curve of ?