General: Population The population of a town is f(x) = 3x2 - 12x+200 people after x week...

General: Population The population of a town is f(x) = 3x² - 12x+200 people after x weeks (for 0 ≤ x ≤20).

a. Find by using the definition of the derivative.

b. Use your answer to part (a) to find the instantaneous rate of change of the population after 1 week. Be sure to interpret the sign of your answer.

c. Use your answer to part (a) to find the instantaneous rate of change of the population after 5 weeks.