For the function f(x) = 6x, make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x = 2. Complete the table. (Do not round until the final answer. Then round to the nearest thousandth as needed.) Slope of the Secant Line Interval [1,2] [1.5, 2] [1.9, 2] [1.99, 2] [1.999, 2] It can be conjectured that the slope of the tangent line at x =2 is (Round to the nearest integer as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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9.
For the function f(x) = 6x, make a table of slopes of secant lines and make a conjecture about the slope of the tangent line
at x = 2.
%3D
rk
Complete the table.
v?
(Do not round until the final answer. Then round to the nearest thousandth as needed.)
Slope of the
Secant Line
E for
Interval
[1,2]
Scieno
[1.5, 2]
[1.9, 2]
[1.99, 2]
[1.999, 2]
It can be conjectured that the slope of the tangent line at x = 2 is
(Round to the nearest integer as needed.)
Scre
Transcribed Image Text:9. For the function f(x) = 6x, make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x = 2. %3D rk Complete the table. v? (Do not round until the final answer. Then round to the nearest thousandth as needed.) Slope of the Secant Line E for Interval [1,2] Scieno [1.5, 2] [1.9, 2] [1.99, 2] [1.999, 2] It can be conjectured that the slope of the tangent line at x = 2 is (Round to the nearest integer as needed.) Scre
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