Quation 4. (8 marks) Let y = x). (a) Write down the general formula for the equation of the line tangent to Hz) at the point a: = (1. Now, consider the implicit function: y3 + 33:23; = 13. (b) Find Lily/dz (c) Compute the equation for tangent line at (any) 2 (2,1). Question 5. (10 marks) (3.) Find the derivative of f($) = %$2 2 and examine where the function is increasing or decreasing. (b) Use L'HOpital's Rule to nd the following limits: (I) link,0 611] (ii). limb 553-322 (:r > 0. y > 0) Question 6. (6 marks) .Find the elasticities of x) with respect to :1: (a) . x) 2 Azb, where A,b are constants with A 75 D. (b) fix) = 432 (Hint: The elasticity of f(:r) with respect to x is given by Elxx) = new