Find the minimum and maximum speeds of the point of a trochoid and the locations where each occurs.
I know a trochoid has equations $ (x)t = at - b \sin{t} $ ; $ y(t) = a- b \cos{t} $ for trochoid of radius a and b distance from center of circle (According to Wolfram)
The only speed equation I'm familiar with thus far in my study of parametric equations is the arc-length equation. Would I set that equal to zero and then try and solve for a & b (cause I did and that gets really messy- not sure I know how to do that)?
Any/all suggestions appreciated