Question: (a) The curve with equation y2 = x3 3x2 is called the Tschirnhausen cubic. Find an equation of the tangent line to this curve

(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 a horizontal tangent?
(c) Illustrate parts (a) and (b) by graphing the curve and the tangent lines on a common screen.

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a y x 3x 2yy 3x 32x y 31 61 22 y 3x 6x 2y So at the point 1 2 we have 9 and an ... View full answer

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