S(t) = 600t + 30t^2 - 4t^3 (distance of the airplane in km with respect to time-t )
s'(t) = 600 + 60t - 12t^2 (instantaneous rate with respect to "t" in hours)
s'(2) = 768 km/h
I need help setting up this word problem, i know i need to use limits
The distance an airplane has flown at t hours is given by
S(t) = 600t + , where S is the distance in kilometers and 0 . Estimate the instantaneous rate of change in distance at exactly 2 h.