Use linear approximation, i.e. the tangent line, to approximate 3.9³ as follows: Let f(x) = x³. 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 3.9³ is

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter55: Introduction To Circles
Section: Chapter Questions
Problem 26A
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Use linear approximation, i.e. the tangent line, to approximate 3.9³ as follows:
Let f(x) = x³. 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 3.9³ is
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate 3.9³ as follows: Let f(x) = x³. 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 3.9³ is
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