Explanation Given: The given function is y = sin x cos x . Calculation: Given: the given interval is [ 0 , π 2 ] . Use product rule. ( f . g ) ' = f ' ⋅ g + g ' ⋅ f y = sin x cos x y ' = d d x ( sin x ) ⋅ cos x + d d x ( cos x ) ⋅ sin x y ' = cos x cos x + ( − sin x ) ⋅ sin x y ' = cos 2 x − sin 2 x y ' = cos 2 x For critical point y ' = 0 . cos 2 x = 0 ⇒ 2 x = π 2 + 2 n π and 2 x = 3 π 2 + 2 n π ⇒ x = π 4 + n π and

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Question

Chapter 4.2, Problem 47E

To determine

Find 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 46E

Chapter 4.2, Problem 48E

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Chapter 4 Solutions

Calculus: Early Transcendentals

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Find 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 Solutions