Use dirrivative

0. Communication: Rafael tries to find f'(2), where f (x) = x3. He substitutes 2 for x and gets f (2) = 32. Then he differentiates 32 and gets 0. Explain why he also gets a mark of 0. 1. An object drops from a cliff that is 150 m high. The distance, d, in metres that the object has dropped at t seconds is modelled by d(t) = 4.9t2. (a) Find the average rate of change of distance with respect to time from 2 s to 5 s. b) Find the instantaneous rate of change of distance with respect to time at 4 s. (c) Find the rate at which the object hits the ground to the nearest tenth. 2. The motion of an avalanche is described by s(t) = 312, where s is the distance in metres travelled by the leading edge of the snow at t seconds