Explanation Given : f ( θ ) = cos 3 θ - 4cos 2 θ on [ − 0.1 , π + 0.1 ] The given function, f ( θ ) = cos 3 θ - 4cos 2 θ Differentiate f ( θ ) to find the critical point f ' ( θ ) = − 3 cos 2 θ sin θ + 8 cos θ sin θ For critical point, f ' ( θ ) = 0 − 3 cos 2 θ sin θ + 8 cos θ sin θ = 0 cos θ sin θ ( −

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 4.1, Problem 35PS

To determine

To find: The smallest value of f(θ)=cos3θ-4cos2θ on [−0.1,π+0.1]

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Chapter 4.1, Problem 34PS

Chapter 4.1, Problem 36PS

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Chapter 4 Solutions

Calculus

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The smallest value of f ( θ ) = cos 3 θ - 4cos 2 θ on [ − 0.1 , π + 0.1 ]

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To find: The smallest value of f(θ)=cos3θ-4cos2θ on [−0.1,π+0.1]

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Chapter 4 Solutions