1. Consider the function f(x) = 3/x| + 4. [2] (a) Evaluate the right-hand derivative of f(x) 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 = x + -, where the tangent is line is horizontal. 3. Evaluate the derivatives of the given functions. Simplify your answers whenever possible. [4] (a) f(2) = 24 -525/7 + (51) -3 +- [6] (b) f(2) = 2(42+ 2) 10 [5] (c) f(x) = x1/3(sec x + csc x) [5] 2 - COS X (d) f(x) = 2 + sin x [9] 4. Find an equation of the tangent to the curve defined implicitly by xy - cosy - =0 at the point (1, 7/2). [10] 5. How fast is the surface area of a cube changing when the volume of the cube is 125 cm and is increasing at 3 cm3/s? (The volume V, surface area S, and edge length x of a cube are related by V = x3 and S = 6x2)