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What is a derivative?

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

Solution for problem 13 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 13

A rechargeable battery is plugged into a charger. The graph shows C(t), the percentage of full capacity that the battery reaches as a function of time t elapsed (in hours).

(a) What is the meaning of the derivative C’(t)?

(b) Sketch the graph of C’(t). What does the graph tell you?

Step-by-Step Solution:

Step 1 of 3

The meaning of derivative of  is the ratio of change of percentage of full capacity in a very infinitesimal change of time.

Step 2 of 3

Chapter 2.8, Problem 13 is Solved
Step 3 of 3

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

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