Explanation Given: The given function is y = tan x − 2 x . Calculation: The given interval is [ 0 , 1 ] . Use sum/ difference rule : ( f + g ) ' = f ' + g ' y = tan x − 2 x y ' = d d x ( tan x ) − 2 d d x ( x ) y ' = sec 2 x − 2 For critical point y ' = 0 . sec 2 x − 2 = 0 ⇒ sec 2 x − 2 + 2 = 0 + 2 ⇒ sec 2 x = 2 ⇒ sec x = 2 ⇒

4th Edition

ISBN: 9781319379421

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 4.2, Problem 55E

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 54E

Chapter 4.2, Problem 56E

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Chapter 4 Solutions

CALCULUS 4E (HC) 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

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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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Chapter 4 Solutions