Explanation f ( x ) = 6 x 4 − 4 x 6 , [ − 2 , 2 ] f ( x ) = 6 x 4 − 4 x 6 Then f ' ( x ) = 24 x 3 − 24 x 5 = 24 x 3 ( 1 − x 2 ) So that the critical point are x = − 1 , x = 0 and x = 1 The table below value f at each of the critical point and the endpoint of the interval <

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 4, Problem 32CRE

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f(x)=6x4−4x6,[−2,2]

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Chapter 4, Problem 31CRE

Chapter 4, Problem 33CRE

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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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f ( x ) = 6 x 4 − 4 x 6 , [ − 2 , 2 ]

Solution Summary: The author explains how to determine the minimum value of f(x)=6x44, and the maximum value is 2.

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f(x)=6x4−4x6,[−2,2]

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Chapter 4 Solutions