Let f(x)=−2x3−3.5x+2. In this problem you will estimate f′(1) by computing the average rate of change of f(x) over a small interval. Round your answers to three decimal places. 1. First choose the interval of length .1 with 1 being the left endpoint of the interval.Then f'(1) 22. Now let the interval have length .01. Thenf'(1) =3. Finally let the interval have length .001 Thenf'(1) 2

Answered: 1. First choose the interval of length…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Let f(x)=−2x3−3.5x+2. In this problem you will estimate f′(1) by computing the average rate of change of f(x) over a small interval. Round your answers to three decimal places.

1. First choose the interval of length .1 with 1 being the left endpoint of the interval.
Then f'(1) 2
2. Now let the interval have length .01. Thenf'(1) =
3. Finally let the interval have length .001 Thenf'(1) 2

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Step 1

Write the formula for rate of change and put one by one values. Here we observed that if take smaller interval that is small value of h that rate of change is more accurate.

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