For full credit, ensure you show all your work and explain your reasoning. Simply stating the final answer for any of the following questions will not result in full credit. 1. (3 marks) By carefully showing all your steps, differentiate the function f(x) = (cos-1 (sin(z)))3 2. (3 marks) A point is moving along the curve y = vr in such a way that its a coordinate is increas ing at the rate of 3 units per minute. At what rate is its slope changing (a) when a = 2? (b) when a = 6? 3. (3 marks) Suppose that ray - ry3 = -2. What is the equation of the line tangent to this curve at the point (-1, -1)