Explanation 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: The given function is f ( w ) = ( w 3 − w 2 + w − 1 ) ( w 2 + 2 ) . Use product rule of differentiation to find the derivative of the function as follows, Differentiation f ( w ) = ( w 3 − w 2 + w − 1 ) ( w 2 + 2 ) with respect to x on both sides, f ' ( w ) = d d w [ ( w 3 − w 2 + w − 1 ) ( w 2 + 2 ) ] = ( w 3 − w 2 + w − 1 ) d d w ( w 2 + 2 ) + ( w 2 + 2 ) d d w ( w 3 − w 2 + w − 1 ) = ( w 3 − w 2 + w − 1 ) ( 2 w

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 9E

To determine

To find: The derivative of the function f(w)=(w3−w2+w−1)(w2+2).

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Chapter 3.2, Problem 8E

Chapter 3.2, Problem 10E

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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 the function f ( w ) = ( w 3 − w 2 + w − 1 ) ( w 2 + 2 ) .

Solution Summary: The author calculates the derivative of the function f'(w)=d

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To find: The derivative of the function f(w)=(w3−w2+w−1)(w2+2).

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Chapter 3 Solutions