Let f(x) = 4x2 – 4x – 8. The secant line through (2, f(2)) and (2 + h, f(2 + h)) has slope 4h + 12. Use this formula to 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.) m2 =

Let f(x) = 4x2 – 4x – 8. The secant line through (2, f(2)) and (2 + h, f(2 + h)) has slope 4h + 12. Use this formula to 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.) m2 =

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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Similar questions

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Use the result in Exercise 20 to find the equation of the line that contains 5,-1 and is parallel to the graph of 3x-4y=12.

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