The value V (in thousands of dollars) of an antique car is given by the formula V = 40(1.15)^t , where t is the number of years since the beginning of the year 2015.

a. At the beginning of 2017, estimate how fast the value of the car is changing. Use the definition of the derivative. Use the average rate of change of f(t) from t=a to t=a+h is given by f(a+h)-f(a)/h.

b. Use technology to zoom in on the graph of V near the point t= 2 to check the answer from the previous part.