Use linear approximation, i.e. the tangent line, to approximate 3.6^7 as follows: Let f(x)=x^7. The equation of the tangent line to f(x) at x=4 can be written in the form y=mx+b where m is: and where b is: Using this, we find our approximation for 3.6^7 is

Use linear approximation, i.e. the tangent line, to approximate 3.6^7 as follows: Let f(x)=x^7. The equation of the tangent line to f(x) at x=4 can be written in the form y=mx+b where m is: and where b is: Using this, we find our approximation for 3.6^7 is

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Equations, Inequalities, And Mathematical Modeling

Section1.1: Graphs Of Equations

Problem 9ECP

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Question

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Use linear approximation, i.e. the tangent line, to approximate 3.6^7 as follows:
Let f(x)=x^7. The equation of the tangent line to f(x) at x=4 can be written in the form y=mx+b
where m is:
and where b is:
Using this, we find our approximation for 3.6^7 is

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