example on rate of change
Example: The distance traveled by a car as a function of time can be represented by the equation d(t) = 50t, where d(t) is the distance traveled in miles and t is the time in hours.
To find the rate of change, we can calculate the derivative of the equation with respect to time.
d'(t) = 50
The rate of change is given by the derivative, which in this case is a constant value of 50. This means that the car is traveling at a constant speed of 50 miles per hour.