A sociological topic that has been discussed since the end of World War II is the status of women in the labor force. The number of unmarried women in the U.S. labor force from 1970 to 2010 can be modeled byf(x) = 1.11(1.57x+ 17.27)^0.66

0x40

wherexrepresents the number of years since 1970 andf(x)

represents the number of unmarried women in the U.S. labor force, measured in millions.

(a) Determinef'(x).

f'(x) =