(a) Find the slope of the tangent line to the curve y = x - x3 at the point (1, 0)(i) using Definition 2 (ii) using Equation 3(b) Find an equation of the tangent line in part (a).(c) Graph the curve and the tangent line in successively smaller viewing rectangles centered at (1, 0) until the  curve and the line appear to coincide.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 3E
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(a) Find the slope of the tangent line to the curve y = x - x3 at the point (1, 0)
(i) using Definition 2 (ii) using Equation 3
(b) Find an equation of the tangent line in part (a).
(c) Graph the curve and the tangent line in successively smaller viewing rectangles centered at (1, 0) until the  curve and the line appear to coincide.

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