[Question 2] (a) i. 4x - 6 X 5-2 f (x) = x- 7 X > - 2 Test for the continuity of f (x) x - -2 [4 marks] (b) Find the first derivative for each of the following functions: i. y = 2x + 3 1 - 4x [4 marks] ii. y = ( x + 6) (1 - 2x - -) [4 marks] = (X - 2) [3 marks] Total [33 marks)panies Office On Real Estate & Hom... \\ Watch Live Qatar W.. Top Up Flow . Recel.. in The 5 c 4 1 4 100% (b) Calculate the average rate of change of f (x) = x - 8x + 3 on the interval [-2, 5] [3 marks] (c) Evaluate the following limits: limx--3 X + 7x + 12 x + 3 [4 marks] ii. limx-109 x3 - 6 3x - 1x [3 marks] [Question 2] 4x 6 N E -2 f (x) x- -7 Test for the continuity of (x x [+ marks] b) Find the first derivative for each of the following functions:SECTION B Answer All Questions from this section [Question 1] (a) i. Differentiate from first principles /(x) = 3x - 4x + 8 [6 marks] ii. Hence calculate the gradient of 3x - 4x + 8 when x = 2 [2 marks] (b) Calculate the average rate of change of / (@) = x - 8x 3 on the interval [-2. 5] [3 marks] (c) Evaluate the following limits: lim,_3 1 7x 1 12 marks II. 6