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I am trying to view the graph of a parametric function and its first and second derivatives using Graph by Ivan Johansen. The function is x=t^0.5, y=t^3-2.5t^2. I have it displayed but what is done to display the first derivative? I have found dy/dt, dx/dt, dy/dx.
I think I was confused by expecting to see the graph of the first derivative 0 at a turning point but you don't see that with parametric function graphs.
Do you mean graphs of dx/dt and dy/dt separately? It certainly is not necessary that dx/dt be 0 at a turning point of y(x).
dy/dx= (dy/dt)/(dx/dt)= 0 only requires that dy/dt= 0.
