Question

(a) Graph the function $ f(x) = \sin x - \frac{1}{1000} \sin (1000x) $ in the viewing rectangle $ [-2 \pi, 2 \pi] $ 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) $?

Name: a graph the function fx sin x frac11000 sin 1000x in the viewing rectangle 2 pi 2 pi by 4 4 what slope does the graph appear to have at the origin b zoom in to the viewing window 04 04 by 025 025 an 2
Uploaded: 2021-07-19T05:12:35-08:00
Duration: 2 min 41 s
Channel: Patrick Delos Reyes
Description: a graph the function fx sin x frac11000 sin 1000x in the viewing rectangle 2 pi 2 pi by 4 4 what slope does the graph appear to have at the origin b zoom in to the viewing window 04 04 by 025 025 an 2

          (a) Graph the function $ f(x) = \sin x - \frac{1}{1000} \sin (1000x) $ in the viewing rectangle 
$ [-2 \pi, 2 \pi] $ 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) $?

Added by Jack B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Chapter 2

Instant Answer

Solved by Expert Patrick Delos Reyes

07/19/2021

Step 1

Step 1: Graph the function $f(x) = \sin x - \frac{1}{1000} \sin (1000x)$ in the viewing rectangle $[-2\pi, 2\pi]$ by $[-4, 4]$ using a graphing calculator or software. Show more…

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(a) Graph the function $ f(x) = \sin x - \frac{1}{1000} \sin (1000x) $ in the viewing rectangle $ [-2 \pi, 2 \pi] $ 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) $?