Explanation Given information: The function is f ( x ) = x 3 − 2 x 2 + 1 . Formula used : The quotient rule of differentiation is, f ′ ( x ) = d d x [ f ( x ) g ( x ) ] = g ( x ) ⋅ d d x f ( x ) − f ( x ) ⋅ d d x g ( x ) [ g ( x ) ] 2 The above formula is defined when the denominator g ( x ) ≠ 0 . Calculation: Use the quotient rule of differentiation to find the derivative of the function. f ′ ( x ) = d d x [ x 3 − 2 x 2 + 1 ] = ( x 2 + 1 ) d d x ( x 3 − 2 ) − ( x 3 − 2 ) d d x ( x 2 + 1 ) ( x 2 + 1 ) 2 = ( x 2 + 1 ) ( 3 x 2 − 0 ) − ( x 3 − 2 ) ( 2 x + 0

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 22E

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To find: The derivative of given function.

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Chapter 3.2, Problem 21E

Chapter 3.2, Problem 23E

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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.

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

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Chapter 3 Solutions