(1 point) The graph of the equation x? + xy + y2 = 1 is an ellipse lying obliquely in the plane, as illustrated in the figure below. Y . ~ ('webwork2_files/tmp/MATH_203_Summer_2_2024/images/59b7a41f-611f-3fd1-ab80-8c86d3a800d1__ 8c9b2ec1-ef49-33f7- 9358-2bf5420449af png) a. Compute d_y dx dy _ dx b. The ellipse has two horizontal tangents. Find an equation of the upper one. The upper horizontal tangent line is defined by the equation y = c. The ellipse has two vertical tangents. Find an equation of the leftmost one. The leftmost vertical tangent line is defined by the equation x = d. Find the point at which the leftmost vertical tangent line touches the ellipse. Hint: The horizontal tangent is of course characterized by % = (. To find the vertical tangent use symmetry, or solve g; =0