Explanation Given: f ( x ) = a sin x + b cos x f ' ( x ) = a cos x − b sin x f ' ( x ) = 0 a cos x − b sin x = 0 x = a b sin x = ± a a 2 + b 2 cos x = ± b a 2 + b 2 f ( x ) = a sin x + b cos x f ( x ) = a ( ±

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 4.2, Problem 81E

To determine

Show that the extreme values f(x)=asinx+bcosx are ±a2+b2

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Chapter 4.2, Problem 80E

Chapter 4.2, Problem 82E

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Chapter 4 Solutions

Calculus - Standalone book

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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Show that the extreme values f ( x ) = a sin x + b cos x are ± a 2 + b 2

Solution Summary: The author explains that the extreme values f(x)=amathrmsinx+b

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Show that the extreme values f(x)=asinx+bcosx are ±a2+b2

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Chapter 4 Solutions