Solution Found!
Solved: (a) Find the slope of the tangent line to the curve y x 2 x 3 at the point s1
Chapter 2, Problem 4(choose chapter or problem)
(a) Find the slope of the tangent line to the curve y x 2 x 3 at the point s1, 0d (i) using Definition 1 (ii) using Equation 2 (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 s1, 0d until the curve and the line appear to coincide.
Questions & Answers
QUESTION:
(a) Find the slope of the tangent line to the curve y x 2 x 3 at the point s1, 0d (i) using Definition 1 (ii) using Equation 2 (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 s1, 0d until the curve and the line appear to coincide.
ANSWER:Step 1 of 4
Given equation of the parabola is
To find the slope of the parabola at (1,0).
Using the definition (i), the slope of the tangent line is
Thus, the slope of the tangent line at the given point using definition (i) is -2.