+1 862 207 3288 Tschirnhausen cubic.
(a) The curve with equation y2 = x3 + 3×2 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?
(c) Illustrate parts (a) and (b) by graphing the curve and the tangent lines on a common screen.
