   Chapter 2.1, Problem 61E

Chapter
Section
Textbook Problem
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# (a) Graph the function f ( x ) = sin x − 1 1000 sin ( 1000 x ) in theviewing rectangle [ − 2 π , 2 π ] by [ − 4 , 4 ] . What slope does the graph appear to have at the origin?(b) Zoom in to the viewing window [ − 0.4 , 0.4 ] by [ − 0.25 , 0.25 ] and estimate the value of f ′ ( 0 ) Does this agree with your answer from part (a)?(c) Now zoom in to the viewing window [ − 0.008 , 0.008 ] by [ − 0.005 , 0.005 ] . Do you wish to revise your estimate for f ′ ( 0 ) ?

To determine

(a)

To graph: The function fx=sinx-11000sin(1000x)

Explanation

The graph in the viewing window [-2 π,2π] by [-4, 4] is as shown below

To determine

(b)

To estimate:

The value of f'(0).

To determine

(c)

To estimate:

The value of f'(0)

in to the viewing window [0.008,0.008]

by [0.005,0.005]

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