Explanation Given information: The function is f ( x ) = 2 x − 1 2 x + 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 [ 2 x − 1 2 x + 1 ] = ( 2 x + 1 ) d d x ( 2 x − 1 ) − ( 2 x − 1 ) d d x ( 2 x + 1 ) ( 2 x + 1 ) 2 = ( 2 x + 1 ) ( 2 ) − ( 2 x − 1

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ISBN: 9781337825597

Author: Tan

Publisher: INTER CENG

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Chapter 3.2, Problem 17E

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To find: The derivative of given function.

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Chapter 3.2, Problem 16E

Chapter 3.2, Problem 18E

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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