Given the function below f(x) = V-192x³ + 704 Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form. L(x) = Use the tangent line to approximate f(1.1). L(1.1) Compute the actual value of f(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only. |error| = (Approximate to at least 5 decimal places.)

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
Given the function below
f(æ)
Y-192x3 + 704
Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form.
L(x) =
Use the tangent line to approximate f(1.1).
L(1.1) :
Compute the actual value of f(1.1). What is the error between the function value and the linear
approximation?
Answer as a positive value only.
|error| 2
(Approximate to at least 5 decimal places.)
Transcribed Image Text:Given the function below f(æ) Y-192x3 + 704 Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form. L(x) = Use the tangent line to approximate f(1.1). L(1.1) : Compute the actual value of f(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only. |error| 2 (Approximate to at least 5 decimal places.)
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