(c) Find the gradient of the graph of at the point where = 1. f(x) x (2) The graph of has a local maximum point, M, and a local minimum point, N. f(x) (d) (i) Use to find the of M and of N. f′(x) x-coordinate (ii) Hence or otherwise write down the coordinates of M and of N. (5) (e) Sketch the graph of for 7 and 60. Mark clearly M and N on your graph. f(x) x y –5 ≤ ≤ –60 ≤ ≤ (4) Lines and are parallel, and they are tangents to the graph of at points A and B respectively. L1 L2 f(x) has equation = 21x + 111. L1 y (f) (i) Find the of A and of B. x-coordinate (ii) Find the of B. y-coordinate (6) (Total 21 marks)
(c) Find the gradient of the graph of f(x) at the point where x = 1. (2) The graph of f(x) has a local maximum point, M, and a local minimum point, N. (d) (i) Use f′(x) to find the x-coordinate of M and of N. (ii) Hence or otherwise write down the coordinates of M and of N. (5) (e) Sketch the graph of f(x) for –5 ≤ x ≤ 7 and –60 ≤ y ≤ 60. Mark clearly M and N on your graph. (4) Lines L1 and L2 are parallel, and they are tangents to the graph of f(x) at points A and B respectively. L1 has equation y = 21x + 111. (f) (i) Find the x-coordinate of A and of B. (ii) Find the y-coordinate of B. (6) (Total 21 marks)
MOCK-EXAM-REVIEW-Topic-6-Mar-2014.docx