If ƒ(x) = 2x² - 6x + 7, find ƒ'(2). Use this to find the linear approximation to f(x) at x = 2. The equation of this linear approximation is L(x) = Use L(x) to approximate ƒ(2.3). (Compute the actual value of L(2.3).) ƒ(2.3)~ Compare this with the actual value of ƒ(2.3) : =

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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If ƒ(x) = 2x² - 6x + 7, find ƒ'(2).
Use this to find the linear approximation to f(x) at x = 2.
The equation of this linear approximation is
L(x) =
Use L(x) to approximate ƒ(2.3). (Compute the actual value of L(2.3).)
ƒ(2.3)~
Compare this with the actual value of ƒ(2.3) :
=
Transcribed Image Text:If ƒ(x) = 2x² - 6x + 7, find ƒ'(2). Use this to find the linear approximation to f(x) at x = 2. The equation of this linear approximation is L(x) = Use L(x) to approximate ƒ(2.3). (Compute the actual value of L(2.3).) ƒ(2.3)~ Compare this with the actual value of ƒ(2.3) : =
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