Stationary point of Curve

Parametric equations of a curve:

X=0.5t
Y=t^2 +t

Differentiated to 2t/0.5. Does this mean the stationary point is infinite?

dy/dt=2t+?

No, this does not

Does that mean their is a stationary point? Or is there something else I need to do to show it is infinite?

I think you have things the wrong way round!

Your expression for dy/dx should now be 2t/(0.5) i.e. 4t. So what's the condition for a stationary point?

I have never come across an infinite stationary point, I don't think it makes any sense.

My expression for dy/dx is 2t/(0.5) -left it there though rather than continued to 4t. I wrote the original post out really rushed though so admittedly I've made a bit of a mess of it lol.

This is the part I'm confused about though for there to be a stationary point dy/dx= 0 so for 4t to equal t would have to be 0 but then that doesn't work with the... Ahh would that mean the stationary point is at (0,1)? Think I may have just got myself confused with the y equation .