Find a cubic function Y = ax3 bx2 Cx d whose graph has horizontal tangents at the points (-2, 6) and (2, 0).
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(a) The curve with equation y^2 = x^3 3x^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. | Numerade
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