(a) The curve with equation y 2   = x3 +3 x 2  is called theTschirnhausen 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 horizontaltangent?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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(a) The curve with equation y 2   = x3 +3 x 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 a horizontal
tangent?

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