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Find the f(x) = -4x³ - 3x + 1 linearization L(x) at x = a. L(x) = a=2

Find the f(x) = -4x³ - 3x + 1 linearization L(x) at x = a. L(x) = a=2

Calculus: Early Transcendentals
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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= (MA Find the linearization L(x) at x = a. f(x) = -4x³-3x+1 L(x)= a=2 Question
Transcribed Image Text:= (MA Find the linearization L(x) at x = a. f(x) = -4x³-3x+1 L(x)= a=2 Question
Expert Solution
Step 1: Linearization of a function

Let a function f( x ) will be linearized at x space equals space a

Then Linearized function can be written as 

L space equals space f left parenthesis space a space right parenthesis space plus space left parenthesis space x space minus space a space right parenthesis f apostrophe left parenthesis space a space right parenthesis

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