Explanation Given Info: y = x x + 2 , [ 1 , 4 ] F o r m u l a U s e d : f ' ( c ) = f ( b ) − f ( a ) b − a Calculation: To derive the above formula f ( x ) = x x + 2 a = 1 , b = 4 f ( a ) = f ( 1 ) = 1 3 f ( b ) = f ( 4 ) = 2 3 b − a = 4 − 1 = 3 f ' ( x ) = 2 ( x + 2 ) 2 f ' ( c ) = 2 ( c + 2 ) 2

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 4.3, Problem 4E

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To find a point c, y=xx+2,[1,4]

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Chapter 4.3, Problem 3E

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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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To find a point c, y = x x + 2 , [ 1 , 4 ]

Solution Summary: The author explains the formula l f'(x)=2(c+2

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