Question: Solve the given problems by finding the appropriate derivative.
A meteorologist sketched the path of the jet stream on a map of the northern United States and southern Canada on which all latitudes were parallel and all longitudes were parallel and equally spaced. A computer analysis showed this path to be y = 6.0e-0.20x sin 0.20x (0 ≤ x ≤ 60) where the origin is 125.0°W, 45.0°N and (60,0) is 65.0°W, 45.0°N. Find the locations of the maximum and minimum latitudes of the jet stream between 65°W and 125°W for that day.