Simple vector function problem, find slope of tangent?

[6.28318531]

Homework Statement

Show that the curve r = (t²,t³-t) Intersects itself at (1,0), and find the slopes of the tangents at this point.

Homework Equations

The Attempt at a Solution

Okay I can show it intersects itself there, but what I am having trouble with is when they say slopes of the tangents at this point .What do they mean? The wording sort of confused me.

 

[oli4]

Hi rounded 2∏,
How did you show they intersect ?
I don't see anything wrong in the wording, so I just want to make sure you got it right from the beginning.
If you did, well, the slope is dy/dx which you should be able to evaluate simply at those two "events".

Cheers...