The attachment is a set of equations that define a parametric curve in the xy plane. My instructions are to find the lowest point on the curve. I can see how my solution my solution is correct, but when I have winplot give me the derivative curve, which is an inverse parabola with vertex (-3,1). It's intercepts are nowhere in the -1/2 neighborhood on either axis. So what am i seeing in the derivative curve? What does its vertex represent?

So while dinking about with this thing, i became curious how i would find the point of intersection on the curve (just the original curve) . I know how to find the intersection of two parametric curves, but not sure I've learned the

process of finding it with one. Can it be done?

Thanx!