U.V, Implicit Differentiation 1. Let x2 + 32 = 16 (a) Using a graphing tool ( I suggest Desmos so you all can see the graph), sketch the graph. Draw a sketch in your work. (b) Using implicit differ satiation, determine dy dx (c) Where does the graph have horizontal tangent lines. Justify your reasoning and determine the equations of the lines. (d) Where does the graph have vertical tangent lines. Justify your reasoning and determine the equations of the lines. (e) Using your graphing tool, graph the curve with the tangent lines you found to verify your results, and give criteria for having horizontal and tangent lines to a curve