Consider the function f(x) = = √x and the point P(4, 2) on the graph f. (a) Graph f and the secant lines passing through the point P(4, 2) and Q(x, f(x)) for x-values of 3, 6, and 7. Find the slope of each secant line. (Round your answers to three decimal places.) line passing through Q(3, f(x)) line passing through Q(6, f(x)) line passing through Q(7, f(x)) (b) Use the results of part (b) to estimate the slope of the tangent line to the graph of f at P(4, 2).
Consider the function f(x) = = √x and the point P(4, 2) on the graph f. (a) Graph f and the secant lines passing through the point P(4, 2) and Q(x, f(x)) for x-values of 3, 6, and 7. Find the slope of each secant line. (Round your answers to three decimal places.) line passing through Q(3, f(x)) line passing through Q(6, f(x)) line passing through Q(7, f(x)) (b) Use the results of part (b) to estimate the slope of the tangent line to the graph of f at P(4, 2).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Use the results of part (b) to estimate the slope of the tangent line to the graph of f at P(4, 2).
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