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Calculus: Early Transcendentals | 9th Edition | ISBN: 9781337613927 | Authors: Daniel K. Clegg, Saleem Watson, James Stewart ISBN: 9781337613927 2024

Solution for problem 2 Chapter 2.8

Calculus: Early Transcendentals | 9th Edition

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Calculus: Early Transcendentals | 9th Edition | ISBN: 9781337613927 | Authors: Daniel K. Clegg, Saleem Watson, James Stewart

Calculus: Early Transcendentals | 9th Edition

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Problem 2

Use the given graph to estimate the value of each derivative. Then sketch the graph of \(f \prime\)

(a) \(f^{\prime}(-3)\)

(b) \(f^{\prime}(-2)\)

(c) \(f^{\prime}(-1)\)

(d) \(f^{\prime}(0)\)

(e) \(f^{\prime}(1)\)

(f) \(f^{\prime}(2)\)

(g) \(f^{\prime}(3)\)

                                               

Step-by-Step Solution:

Step 1 of 4

The value of the derivative at any x value by drawing the tangent point  and then estimating its slope. The slope is the y-value on the graph of f’.

By the observation, at  the value of the slope is  can be calculated by the ratio of the rise and the run which is equal to  and is decreasing at.

Therefore, the value of the derivative is.

Similarly, the tangent at  is horizontal.

The value of the derivative at is  

At, the rise if half than the run and is increasing.

Therefore, the value of the derivative is  

Step 2 of 4

Chapter 2.8, Problem 2 is Solved
Step 3 of 4

Textbook: Calculus: Early Transcendentals
Edition: 9
Author: Daniel K. Clegg, Saleem Watson, James Stewart
ISBN: 9781337613927

Since the solution to 2 from 2.8 chapter was answered, more than 287 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 2 from chapter: 2.8 was answered by Aimee Notetaker, our top Calculus solution expert on 08/05/21, 04:08PM. The answer to “?Use the given graph to estimate the value of each derivative. Then sketch the graph of \(f \prime\)(a) \(f^{\prime}(-3)\)(b) \(f^{\prime}(-2)\)(c) \(f^{\prime}(-1)\)(d) \(f^{\prime}(0)\)(e) \(f^{\prime}(1)\)(f) \(f^{\prime}(2)\)(g) \(f^{\prime}(3)\)” is broken down into a number of easy to follow steps, and 25 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 132 chapters, and 8466 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 9. Calculus: Early Transcendentals was written by Aimee Notetaker and is associated to the ISBN: 9781337613927.

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