7. Two part question: a. Determine the equation for the slope of the secant line between the point with x-coordinate a=2 and any general point (a+h, f(a+h)) on the 2 graph f(x) = x² + 3x - 1. b. Use the result from part (a) to estimate the slope of the tangent line at the point with x-coordinate 2.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7. Two part question:
a. Determine the equation for the slope
of the secant line between the point
with x-coordinate a=2 and any
general point (a+h, f(a+h)) on the
2
graph f(x) = x + 3x - 1.
b. Use the result from part (a) to
estimate the slope of the tangent
line at the point with x-coordinate 2.
Transcribed Image Text:7. Two part question: a. Determine the equation for the slope of the secant line between the point with x-coordinate a=2 and any general point (a+h, f(a+h)) on the 2 graph f(x) = x + 3x - 1. b. Use the result from part (a) to estimate the slope of the tangent line at the point with x-coordinate 2.
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