1. Find the derivative of each of the the following functions. Show your work. a ) f(x) = (3x - x2)4 bif ( x ) = V7+ Vx c) 8 x = 7x V5-2x 2. The world's growing population can be modelled by an exponential equation. If we assume the world's population was approximately 4 billion in the year 1975, then the population at a time t years after 1975 can be found by the equation P = 460.019t. a. Estimate the world's population after 30 years has passed (ie. 30 years from 1975) b. At what rate is the population changing at this time? 3. The height of the tides at a certain spot in Nova Scotia can be found by the equation h(t) = 5sin(0.5t + 2) + 6, where t is the time in hours (using a 24 hour clock) and h is the height in metres. What is the rate of change of height at a time of 07:00 h