QUESTION 1 [13 Marks] (a) Apply first principles, to calculate the differential coefficient of f(x) = 5(3x* + 2) when x = 3. [6 marks] (b) The distance s metres travelled by a car in f seconds after the brakes are applied is given by s = 251 -2.5r . Applying the principles of differentiation, calculate: (i) the speed of the car (in km/h) when the brakes are applied. [4 marks] (ii) the distance the car travels before it stops. [3 marks]