1. Consider the function f(:(:) = 3|x| + 4. [2] (a) Evaluate the right-hand derivative of f(a:) at 0. [2] (b) Evaluate the left-hand derivative of f (x) at 0. [1] (c) What conclusion can we draw from (a) and (b)? [6] 2. Find the points on the curve of equation y = a: + 3, where the tangent is line is horizontal