Given the function below f(x) = √−18x³ +45 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 ƒ(1.1). L(1.1) = Compute the actual value of ƒ(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.)
Given the function below f(x) = √−18x³ +45 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 ƒ(1.1). L(1.1) = Compute the actual value of ƒ(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.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.1: Functions And Function Notation
Problem 9SC
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![Given the function below
f(x) = √-18x³ +45
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 ƒ(1.1).
L(1.1)
=
Compute the actual value of ƒ(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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a61fcb0-5fd6-469a-b0e0-fcaa05b52726%2Fcd7b6b1d-2df8-4f08-af1a-352fc3eef9ec%2F58cc5mnh_processed.png&w=3840&q=75)
Transcribed Image Text:Given the function below
f(x) = √-18x³ +45
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 ƒ(1.1).
L(1.1)
=
Compute the actual value of ƒ(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.)
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