Explanation Given: The function is f ( t ) = ( t − 1 ) ( 2 t + 1 ) . Formula used : The product rule of differentiation is, f ' ( x ) = d d x [ f ( x ) ⋅ g ( x ) ] = f ( x ) ⋅ d d x g ( x ) + g ( x ) ⋅ d d x f ( x ) Calculation: Use product rule of differentiation to find the derivative of the function. f ' ( t ) = d d t [ ( t − 1 ) ( 2 t + 1 ) ] = ( t − 1 ) d d t ( 2 t + 1 ) + ( 2 t + 1 ) d d t ( t − 1 ) = ( t − 1 )

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 3.2, Problem 3E

To determine

To find: The derivative of given function.

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Chapter 3.2, Problem 2E

Chapter 3.2, Problem 4E

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Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

Ch. 3.1 - State the following rules of differentiation in...Ch. 3.1 - Prob. 2CQ Ch. 3.1 - Prob. 3CQ Ch. 3.1 - Prob. 4CQ Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E

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The derivative of given function.

Solution Summary: The author explains how to find the derivative of a given function by using the product rule of differentiation.

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To find: The derivative of given function.

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Chapter 3 Solutions