Explanation Given: The given function is y = θ − 2 sin θ . Calculation: Given: the given interval is [ 0 , 2 π ] . Use sum/ difference rule . ( f + g ) ' = f ' + g ' y = θ − 2 sin θ y ' = d d θ ( θ ) − d d θ ( 2 sin θ ) y ' = 1 − 2 cos θ For critical point y ' = 0 . 1 − 2 cos θ = 0 ⇒ 1 − 2 cos θ − 1 = 0 − 1 ⇒ − 2 cos θ = − 1 ⇒ 2 cos θ 2 = − 1 2 ⇒ cos θ = − 1 2 θ = π 3 + 2 n π ,

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Question

Chapter 4.2, Problem 53E

To determine

The minimum and maximum values of the given function in the given interval by comparing with critical and end points.

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Chapter 4.2, Problem 52E

Chapter 4.2, Problem 54E

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Chapter 4 Solutions

Calculus: Early Transcendentals

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The minimum and maximum values of the given function in the given interval by comparing with critical and end points.

Solution Summary: The author calculates the minimum and maximum values of a given function in the given interval by comparing with critical and end points.

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