Explanation Given : f ( x ) = sin 2 x on [ − π 2 , π 2 ] Concept Used: f ( x ) is a function that satisfies two condition: 1. f ( x ) is continuous on the closed interval [ a , b ] 2. f ( x ) is differentiable on the open interval ( a , b ) 3. f ( a ) = f ( b ) Then a number c must be lie between a and b, a < c < b f ' ( c ) = 0 The given function, f ( x ) = sin 2 x on [ − π 2 , π 2 ] For Rolle’s theorem satisfy the function f ( x ) if 1

6th Edition

ISBN: 9781465208880

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

Publisher: Kendall Hunt Publishing

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Chapter 4.2, Problem 29PS

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To decide: The number c between the interval [−π2,π2] which satisfy Roll’s theorem of function f(x)=sin2x

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Chapter 4.2, Problem 28PS

Chapter 4.2, Problem 30PS

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Chapter 4 Solutions

Calculus

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To decide: The number c between the interval [ − π 2 , π 2 ] which satisfy Roll’s theorem of function f ( x ) = sin 2 x

Solution Summary: The author explains that Roll’s theorem of function f(x) is a function that satisfies two conditions.

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To decide: The number c between the interval [−π2,π2] which satisfy Roll’s theorem of function f(x)=sin2x

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Chapter 4 Solutions