Page 08 MARKS 10. (a) Given that ( ) 1 2 2 7 y x = + , find dy dx . (b) Hence find 2 4 7 x dx x + ⌠⎮⌡ . 11. (a) Show that  sin 2x tan x = 1 − cos 2x,  where 3 2 2 x π π < < . (b) Given that ( ) sin 2 tan f x x x = ,  find ( ) f x ′ . [END OF QUESTION PAPER] 2 1 4 2 Write your answers clearly in the spaces provided in this booklet. The size of the space provided for an answer should not be taken as an indication of how much to write. It is not necessary to use all the space. Additional space for answers is provided at the end of this booklet. If you use this space you must clearly identify the question number you are attempting. Use blue or black ink. Before leaving the examination room you must give this booklet to the Invigilator; if you do not you may lose all the marks for this paper. FOR OFFICIAL USE X747/76/02 Mathematics Paper 2 Answer Booklet Fill in these boxes and read what is printed below. Full name of centre Town Forename(s) Surname Number of seat Day Month Year Scottish candidate number © Mark Date of birth H National Qualications 2016 THURSDAY, 12 MAY 10:30 AM – 12:00 NOON A/PB Page 02 1.(a) (i) 1.(b) 1.(a) (ii) DO NOT WRITE IN THIS MARGIN QUESTION NUMBER