Calculus: Early Transcendentals

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Question

Chapter 4.2, Problem 1E

To determine

(a)

The critical points of f on the interval [0,8].

To determine

(b)

The minimum and maximum value of f on the interval [0,8].

To determine

(c)

The local maximum and local minimum values of function f.

To determine

(d)

The closed interval on which both the minimum and maximum values of f occur at critical points.

To determine

(e)

The open interval in which f has neither maximum nor minimum values.

To determine

(f)

The open interval in which f has a maximum value but no minimum values.

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Chapter 4.2, Problem 4PQ

Chapter 4.2, Problem 2E

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2. Find all critical numbers for the function: g(x) = xv2x +1 1 A. -- 0, 글, 글 А. В. -- 3 2 2 1 С. 3 1 1 D. - -- - 2 3

Chapter 4 Solutions

Calculus: Early Transcendentals

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(a) The critical points of f on the interval [ 0 , 8 ] .

Solution Summary: The author explains how a function graph is used to calculate the critical points of f on the interval [0,8].

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(a)

The critical points of f on the interval [0,8].

(b)

The minimum and maximum value of f on the interval [0,8].

(c)

The local maximum and local minimum values of function f.

(d)

The closed interval on which both the minimum and maximum values of f occur at critical points.

(e)

The open interval in which f has neither maximum nor minimum values.

(f)

The open interval in which f has a maximum value but no minimum values.

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Chapter 4 Solutions

(a) The critical points of f on the interval [ 0 , 8 ] .

Solution Summary: The author explains how a function graph is used to calculate the critical points of f on the interval [0,8].

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(a) The critical points of f on the interval [0,8].

(b) The minimum and maximum value of f on the interval [0,8].

(c) The local maximum and local minimum values of function f.

(d) The closed interval on which both the minimum and maximum values of f occur at critical points.

(e) The open interval in which f has neither maximum nor minimum values.

(f) The open interval in which f has a maximum value but no minimum values.

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Chapter 4 Solutions

(a)

The critical points of f on the interval [0,8].

(b)

The minimum and maximum value of f on the interval [0,8].

(c)

The local maximum and local minimum values of function f.

(d)

The closed interval on which both the minimum and maximum values of f occur at critical points.

(e)

The open interval in which f has neither maximum nor minimum values.

(f)

The open interval in which f has a maximum value but no minimum values.