Let f(x) = 2x2 - 5x 1. The secant line through (2, f(2)) and (2 + h, f(2 + h)) has slope 2h + 3. Use this formula to %3D compute the slope of the given lines. (a) Find the slope of the secant line through (2, f(2)) and (3, f(3)). (Give your answer as a whole or exact number.) m1 = (b) Find the slope of the tangent line at x = 2 (by taking a limit). (Give your answer as a whole or exact number.)

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 92E
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Let f(x) = 2x2 - 5x 1. The secant line through (2, f(2)) and (2 + h, f(2 + h)) has slope 2h + 3. Use this formula to
%3D
compute the slope of the given lines.
(a) Find the slope of the secant line through (2, f(2)) and (3, f(3)).
(Give your answer as a whole or exact number.)
m1 =
(b) Find the slope of the tangent line at x = 2 (by taking a limit).
(Give your answer as a whole or exact number.)
Transcribed Image Text:Let f(x) = 2x2 - 5x 1. The secant line through (2, f(2)) and (2 + h, f(2 + h)) has slope 2h + 3. Use this formula to %3D compute the slope of the given lines. (a) Find the slope of the secant line through (2, f(2)) and (3, f(3)). (Give your answer as a whole or exact number.) m1 = (b) Find the slope of the tangent line at x = 2 (by taking a limit). (Give your answer as a whole or exact number.)
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