Explanation Given information: The function is f ( x ) = ( x + 2 x ) ( x 3 / 2 − x ) . 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: Section1: Use product rule of differentiation to get the derivative function f ′ ( x ) . f ′ ( x ) = d d x [ ( x + 2 x ) ( x 3 / 2 − x ) ] = ( x + 2 x ) ⋅ d d x ( x 3 / 2 − x ) + ( x 3 / 2 − x ) ⋅ d d x ( x + 2 x ) = ( x + 2 x ) ( 3 2 x 1 2 − 1 ) + ( x 3 / 2 − x ) ( 1 2 x − 1 2 + 2 ) = ( x + 2 x ) ( 3 2 x − 1 ) + ( x 3 − x ) ( 1 2 x

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Chapter 3.2, Problem 38E

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To find: The derivative of given function f′(x) and its value at x=4 .

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Chapter 3.2, Problem 37E

Chapter 3.2, Problem 39E

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Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences

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The derivative of given function f ′ ( x ) and its value at x = 4 .

Solution Summary: The author explains how to get the derivative function fprime(x) and its value at x=4.

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To find: The derivative of given function f′(x) and its value at x=4 .

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Chapter 3 Solutions