Consider the curve given by y = 3x* – 6x2 + 2, a. Find the slope of the curve at the point whose x -coordinate is 2. b. Find an equation for the tangent line at the point (1,–1). c. Find the point(s) on the curve at which the tangent line is horizontal.

Consider the curve given by y = 3x* – 6x2 + 2, a. Find the slope of the curve at the point whose x -coordinate is 2. b. Find an equation for the tangent line at the point (1,–1). c. Find the point(s) on the curve at which the tangent line is horizontal.

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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Question

Consider the curve given by y = 3x* – 6x2 + 2,
a. Find the slope of the curve at the point whose x -coordinate is
2.
b. Find an equation for the tangent line at the point (1,–1).
c. Find the point(s) on the curve at which the tangent line is
horizontal.

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