1. Considerthe function x} = N16 x2 . a. For what values of X is f increasing? Decreasing? Justify your answer. (10 points) b. Find the values of x where x) is the greatest. Find the values ofx where x) is the least. (6 points) c. For what values ofx is fconcave upward? Concave downward? Explain. (12 points} d. Sketch the graph of f, labeling your answers from parts (ac). (2 points] 2. Consider the curve given by the equation X3 + 3xy2 + y3 = 1. a. Find 2%. Explain your method or rule tor nding %' (4 points} b. Write an equation for the tangent line to the curve when x = U. (4 points} c. Find all the points on the curve where the curve has a horizontal or vertical tangent. (10 points}