Textbook Problem

Average annual wage Using Social Security Administration data for selected years from 2012 and projected to 2050, the U.S. average annual wage, in thousands of dollars, can be modeled by

$W\left(t\right)=0.0212t^{2.11}$ where t is the number of years past 1975.

(a) Use the model to find a function that models the instantaneous rate of change of W.

(b) Find a function that models the rate at which the instantaneous rate from part (a) is changing.

(c) Find and interpret w(50), W'(50), and W"(50).