Detailed process is required

3. Consider the curve which is the graph of the equation :53 +y3 3:63} 2 0. Graph this curve using your favourite software or graphing calculator to see what this looks like! (It will also help you check your work.) (a) (3 marks) Find an expression for % in terms of a: and y, justifying your steps with the appropriate rules. (b) (2 marks) Find all points 011 the curve Whose tangent lines are horizontal. You may use the fact, without justification, that the derivative 9 does not exist at the point a dx' (07 0) (convince yourself of this by looking at a graph7 but no need to comment on it in your solution here)