Here is the problem:
A rectangle has its base on the x-axis and its upper two vertices on the parabola y=12-x^2 What is the largest area the rectangle can have, and what are its dimensions?
Well, I don't really know where to start. My initial idea was to find inflection points because I figured that is where the vertices would be, but there are no inflection points because it is a parabola...
Then I though about finding where the derivative and the parabola cross, found it, but I don't know how that will help me.
I really don't know where to start.
Any help is appreciated, thanks.