Thread: sketching a plane curve

Sketch the plane curve r(t)=<t^3,t^2>, find r'(1) and r''(1) , then sketch the position vector r(1), r'(1), r''(1) at the graph of the curve r(t)

To get a general idea of what the curve looks like eliminate the variable t.

this gives



Recall that



Give this a shot and try back if you are still stuck.

This is what I have so far. I am not sure how to sketch each of the position vectors.