Find the linear approximation, L(x), of at x = 9. Use this to approximate f(11). Do you think your approximation is too big or too small? Why? Will the approximation of f(10) be better or worse? Why?
Find the linear approximation, L(x), of at x = 9. Use this to approximate f(11). Do you think your approximation is too big or too small? Why? Will the approximation of f(10) be better or worse? Why?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Question
) Find the linear approximation, L(x), of at x = 9. Use this to approximate f(11).
Do you think your approximation is too big or too small? Why? Will the approximation of f(10)
be better or worse? Why? (
Expert Solution

Step 1
Let take a function:
The linear approximation can be calculated as:
Linear approximation of at and using the approximation to estimate :
Now put x=9 in
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