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Find the linear approximation L(x) of the function ¹ƒ(x) = x² + 2x³ at a = -1.

Find the linear approximation L(x) of the function ¹ƒ(x) = x² + 2x³ at a = -1.

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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Question
Find the linear approximation \( L(x) \) of the function \( f(x) = x^6 + 2x^3 \) at \( a = -1 \). \[ L(x) = A + Bx \text{ where } A = \underline{\hspace{1cm}} \text{ and } B = \underline{\hspace{1cm}} \,. \]
Transcribed Image Text:Find the linear approximation \( L(x) \) of the function \( f(x) = x^6 + 2x^3 \) at \( a = -1 \). \[ L(x) = A + Bx \text{ where } A = \underline{\hspace{1cm}} \text{ and } B = \underline{\hspace{1cm}} \,. \]
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