Parametric Curves in 2D

x =

sin(2t)

2

t

+4

, y =

cos(2t)

2

t

+4

Explore a few examples of parametric curves in two dimensions. See how the

x(t)

and

y(t)

functions relate to the final drawn curve in the top-left corner. Also, select "derivatives" to see how

dx/dt

and

dy/dt

relate to

dy/dx

, the slope of the parametric curve. The concavity, as given by

d[dy/dx]/dx

, is also shown, in contrast to the rate of change of slope with respect to time. (Select "values" and "derivatives" to see all derivative values.)

Abby Brown