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CalculusQ&A Library(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.Start your trial now! First week only $4.99!*arrow_forward*

Question

(a) Find the slope of the tangent line to the curve y = x - x^{3 }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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