Explanation Let h ( x ) = f ( x ) − g ( x ) h ' ( x ) = f ' ( x ) − g ' ( x ) f ' ( x ) ≤ g ' ( x ) x ≥ 0 , h ' ( x ) ≤ 0 a n d x ≥ 0 h ( 0 ) = f ( 0 ) − g ( 0 ) = 0 h ( x ) ≤ 0 x ≥ o As

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ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.3, Problem 64E

To determine

Prove that if f(0)=g(0) and f'(x)≤g'(x) for x≥0, then f(x)≤g(x) for all x≥0 show that the function given by y=f(x)−g(x)

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Chapter 4.3, Problem 63E

Chapter 4.3, Problem 65E

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Chapter 4 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

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

Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E Ch. 4.1 - Prob. 11E Ch. 4.1 - Prob. 12E Ch. 4.1 - Prob. 13E Ch. 4.1 - Prob. 14E Ch. 4.1 - Prob. 15E Ch. 4.1 - Prob. 16E Ch. 4.1 - Prob. 17E Ch. 4.1 - Prob. 18E Ch. 4.1 - Prob. 19E Ch. 4.1 - Prob. 20E Ch. 4.1 - Prob. 21E Ch. 4.1 - Prob. 22E Ch. 4.1 - Prob. 23E Ch. 4.1 - Prob. 24E Ch. 4.1 - Prob. 25E Ch. 4.1 - Prob. 26E Ch. 4.1 - Prob. 27E Ch. 4.1 - Prob. 28E Ch. 4.1 - Prob. 29E Ch. 4.1 - Prob. 30E Ch. 4.1 - Prob. 31E Ch. 4.1 - Prob. 32E Ch. 4.1 - Prob. 33E Ch. 4.1 - Prob. 34E Ch. 4.1 - Prob. 35E Ch. 4.1 - Prob. 36E Ch. 4.1 - Prob. 37E Ch. 4.1 - Prob. 38E Ch. 4.1 - Prob. 39E Ch. 4.1 - Prob. 40E Ch. 4.1 - Prob. 41E Ch. 4.1 - Prob. 42E Ch. 4.1 - Prob. 43E Ch. 4.1 - Prob. 44E Ch. 4.1 - Prob. 45E Ch. 4.1 - Prob. 46E Ch. 4.1 - Prob. 47E Ch. 4.1 - Prob. 48E Ch. 4.1 - Prob. 49E Ch. 4.1 - Prob. 50E Ch. 4.1 - Prob. 51E Ch. 4.1 - Prob. 52E Ch. 4.1 - Prob. 53E Ch. 4.1 - Prob. 54E Ch. 4.1 - Prob. 55E Ch. 4.1 - Prob. 56E Ch. 4.1 - 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Prove that if f ( 0 ) = g ( 0 ) a n d f ' ( x ) ≤ g ' ( x ) f o r x ≥ 0 , t h e n f ( x ) ≤ g ( x ) f o r a l l x ≥ 0 show that the function given by y = f ( x ) − g ( x )

Solution Summary: The author explains that the function given by y=f(x)-g can be used to determine that if h is no increasing is cannot climb above zero.

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Prove that if f(0)=g(0) and f'(x)≤g'(x) for x≥0, then f(x)≤g(x) for all x≥0 show that the function given by y=f(x)−g(x)

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Chapter 4 Solutions