Use linear approximation, i.e. the tangent line, to approximate 3.7° as follows: Let f(x) = x°. 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 3.7° is

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Use linear approximation, i.e. the tangent line, to approximate 3.7°
Let f(x) = x°. The equation of the tangent line to f(x) at x = 4 can be written in the form
as follows:
y = mx + b
where m is:
and where b is:
Using this, we find our approximation for 3.7° is
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate 3.7° Let f(x) = x°. The equation of the tangent line to f(x) at x = 4 can be written in the form as follows: y = mx + b where m is: and where b is: Using this, we find our approximation for 3.7° is
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