Find the equation of the tangent line 7 to the graph of f at the given point. Use this linear approximation to complete the table. (Round your answer to four decimal places.) f(x)=√x, (3, √√3) T(x) 2.9 2.99 3 3.01 3.1

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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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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Find the equation of the tangent line T to the graph of f at the given point. Use this linear approximation to complete the table. (Round your answer to four decimal places.)
f(x) = √√√x, (3, √√√3)
X
f(x)
T(x)
2.9
2.99
3
3.01
3.1
Transcribed Image Text:Find the equation of the tangent line T to the graph of f at the given point. Use this linear approximation to complete the table. (Round your answer to four decimal places.) f(x) = √√√x, (3, √√√3) X f(x) T(x) 2.9 2.99 3 3.01 3.1
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