(a) The curve with equation y2 = x3 + 3x2 is called the Tschirnhausen cubic. Find an equation of the tangent line to this curve at the point (1, 2). (b) At what points does this curve have horizontal tangents? ( x, y) = (smaller y-value) ( x , y ) = (larger y-value) . (c) Illustrate parts (a) and (b) by graphing the curve and the tangent lines on a common screen. 4 4 (-2, 2) (1, 2) (1, 2) ( - 8 WIN 27 X X -3 2 2 ( - WIN 27 (-2, -2) TO O -3