Given the function below f(x)=√100x³ +25 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 fƒ(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.)

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) =
=
100x³ +25
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 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.)
Transcribed Image Text:Given the function below f(x) = = 100x³ +25 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 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.)
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