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Find the linearization L(x) of y = 5x ln(x) at a = 1. L(x) =

Find the linearization L(x) of y = 5x ln(x) at a = 1. L(x) =

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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Find the linearization \( L(x) \) of \( y = e^{5x} \ln(x) \) at \( a = 1 \). \[ L(x) = \] (blank for input) This is a mathematical exercise asking for the linearization, which approximates the function near a specific point, in this case, \( a = 1 \). The goal is to find the linear function that closely represents \( y = e^{5x} \ln(x) \) around \( x = 1 \).
Transcribed Image Text:Find the linearization \( L(x) \) of \( y = e^{5x} \ln(x) \) at \( a = 1 \). \[ L(x) = \] (blank for input) This is a mathematical exercise asking for the linearization, which approximates the function near a specific point, in this case, \( a = 1 \). The goal is to find the linear function that closely represents \( y = e^{5x} \ln(x) \) around \( x = 1 \).
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