The derivative is 0 at a stationary point--in fact that's the definition
of stationary point
Not sure if you'd need a picture of the graph or not; don't think you would.
It just looks like an upside down parabola, but starts at 0 and cuts back through the x-axis.
The curve (C) has the equation
,
The point A on C is a stationary point (is just a point at where the parabola turns back down [the tiny bit where it's flat]), and C cuts the x-axis at the point B.
Show that the x-coordinate of B is 3.
[I would of thought that if i substituted 3 into the above equation, y would equal 0?] it equals -9 however.
Find the coordinates of A.