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2 2 Equal derivatives Verify that the functions f(x) = sin

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 36AE Chapter 4.6

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 36AE

2 2 Equal derivatives ?Verify that the functions f(x) = sin x and g(x) = ?cos x have the same derivative. What can you say about the diffe? rence ? ?f ?? ? Explain.

Step-by-Step Solution:

Solution 36AE Step 1 In this problem we have to verify whether the functions f(x) = sin xand 2 g(x) = cos x have same derivative. 2 2 Given f(x) = sin xand g(x) = cos x f (x) = 2 sin x cos xand g (x) = 2 cos x (sin x) = 2sin x cos x That is f (x) = g(x) Hence f(x)and g(x)have same derivative.

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Chapter 4.6, Problem 36AE is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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2 2 Equal derivatives Verify that the functions f(x) = sin