Stationary points, local maxima, minima of a function
Does anyone know how you work out the intervals on which a function is increasing or decreasing and any stationary points, local maxima and local minima?
The function I have is
I have differentiated it and have
Which can be factorised to
From other eg's I think a sign table is the best way of doing this, but I'm not sure what the headings / columns should be.
From trial and error I know there is a stationary point at 3, i.e. f '(x) is 0 when x=3, but I'm not sure how to work out the other things.
I would be really grateful for any advice