(1) For the following functions, find the corresponding first derivatives (i) (2 marks) f(a) =- ed+ 1 a-1 (ii) (2 marks) f(x) = cos(3x + 1) + sin(3x + 1) (iii) (2 marks) z(u) = (iv) (2 marks) f(t) = (2t + 1)2 - 1) 10 (2) Let f be the function f (x) = = 1 X (i) (4 marks) Calculate f'(x) and find all stationary points for f. (ii) (1 mark) Calculate f"(x). (iii) (2 marks) Find all points where a maximum or a minimum occurs for the function and find the value of any maximum or minimum