Chapter 11.6, Problem 43E

Work these exercises.

Waiting Time The average number of vehicles waiting in line to enter a parking lot can be modeled by the function

$f\left(x\right)=\frac{x^2}{2-2x},$

where x is a quantity between 0 and 1 known as the traffic intensity.+ Find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the following values of the intensity: +F. Mannering and W. Kilareski, Principles of Highway Engineering and Traffic Control, Second Edition (John Wiley and Sons, 1997).

$x=.6$

$x=.6$.