Consider the curve y = x – x³. (a) Find the slope of the tangent line to the curve at the point (1, 0). (b) Find an equation of the tangent line in part (a). y = 1- 3x2

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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Consider the curve y = x – x³.
(a) Find the slope of the tangent line to the curve at the point (1, 0).
(b) Find an equation of the tangent line in part (a).
y = 1- 3x2
Transcribed Image Text:Consider the curve y = x – x³. (a) Find the slope of the tangent line to the curve at the point (1, 0). (b) Find an equation of the tangent line in part (a). y = 1- 3x2
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