TASK 7 : FUNCTIONS AND DERIVATIVES Question 1: 14 Marks, 30 mins A cubic graph has the equation f (x) = px3 + qx2 + rx +s Cable Splicing Guide (ARB Joint Kit) ence Write down an expression for f'(x), in terms of p, q and r. able Size (mr ARB fi ( x ) = 3 px 2 + 2q x + r 2-4 Gore Reference Length [3] Question 2: The graphs of 3 functions are shown in the first column. The graphs of the derivatives of these functions are shown in the second column in random order. Match the graph of each function with the graph of its derivative. Graph Graph A Graph Derivative Derivative 1 Copperweld-Camo A V ecomo's Copper BCEW BOEW area from Graph B Derivative 2 OBER Cragn NOVEMBER WTF SMTWTF 3 5 6 9 10 11 Graph C Derivative 3 71 12 13 14 18 19 20 12 4 15 16 17 18 25 26 27 28 19 1 22 23 24 25 26 : 29 orgine transpat WAJOWED NO NUIT WE DISTR 3 Solar an A: 2 B: [6] Power Over Gen72 Question 3: ence a) The cubic function h is shown below. The tangent at (3; 1) has a gradient of zero. Cable Splicing Guide (ARB Joint Kit) able Size (mm 2-4 Core ARB Reference Length Minimum Cable AREO ( 3;1 ) Draw a sketch of the graph of y = h'(x) on the set of axes below, indicating the coordinates of any point that may be read accurately from the given sketch. (3 ) Copperweld-Camo BCEW Botw D. (mm) b) The graph of y = k'(x) is shown below. I OVEMBER DECEMBE k' ( x ) SMTWTF SM TW 1 23 GONUT NOWON 5 6 8 9 10 17 3 4 15 10 11 12 6 12 12 4 517 18 19 2 ! NU 3 24 25 17 20 26 : 48 29 30 24 25 26 2 transport WE DISTRIBUTE AND SUI (1,5;-0,75) (2) Write down the x-coordinate of the local minimum turning point of y = k(x). Solar and Renewable Energy phase ne core only Power and Instrumentation Ca ying high alterna e to skin effect m Overhead Line Equipment an