Answer with grade 12 calculus level tools. Also especially use the chain rule and it's applications

1. Find the derivative of each of the the following functions. Exit Fu Show your work. a f(x) = (3x - x2)4 b) h(ac) = (2x2 + 32 - 5) 8 83 = (2 2 - 16) 5 f ( 2) = V7+ va 8 = V5-2ac f) h(ac) = 4(10% + 2ex + sin(3x))-5 2. From the year 2000, the world's growing population can be modelled by an exponential equation, P(t) = 5.350.019t , where t is the number of years past 2000 and P is the number of people in the billions. a. Estimate the world's population after 20 years has passed (ie. 20 years from 2000) b. At what rate is the population changing at this time