Use linear approximation, i.e. the tangent line, to approximate √81.1 as follows: Let f(x)=√x. Find the equation of the tangent line to f(x)at x=81 L(x)=? Using this, we find our approximation for √81.1 is? NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
Question

4.2: 2)

Use linear approximation, i.e. the tangent line, to approximate √81.1 as follows: Let f(x)=√x. Find the equation of the tangent line to f(x)at x=81

L(x)=?

Using this, we find our approximation for √81.1 is?

NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer.

 

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