Q1. [2 marks each] Differentiate. Make sure to show your work. (a) y = (2a2- 1)3 (24 + 3) 5 (b) f(20 ) = 6x + 5 V7 - 32 2 (c) h(x) = sin(23) cos' a (d) y = P3-4x Q2. [2 marks each] Determine whether the following limits exist or not. Explain either way. If the limit exit, find its value. V16 - x (a) lim 4 3x2 - 7x + 2 (b) lim x-2 2x2 - x - 6 Q3. [3 marks] Consider the following function: -(2+ 2)2 +1 if a 3 Where is f(ae) discontinuous? Justify your answer. Q4. [5 marks] Determine the derivative of f() = ac - 3 using the first principles. 2x2 Q5. [5 marks] What are the coordinates of the point(s) on the graph of y = 3x - 1 at which the slope of the tangent is zero