Explanation Formula used: The formula to calculate the differential of a function h ( x ) = [ g ( x ) ] n by General Power Rule is, h ′ ( x ) = n [ g ( x ) ] n − 1 ⋅ g ′ ( x ) The formula to calculate the differential of a function h ( x ) = [ g ( x ) f ( x ) ] by Quotient Rule is, h ′ ( x ) = f ( x ) g ′ ( x ) − f ′ ( x ) g ( x ) f 2 ( x ) Calculation: The given function is f ( s ) = s − 1 s + 1 (1) Differentiate equation (1) with respect to s on both sides to evaluate f ′ ( s ) as follows, f ′ ( s ) = ( s − 1 ) ′ ( s + 1 ) − ( s − 1 ) ( s + 1 ) ′ ( s + 1 ) 2 [ Use Quotient Rule ] = s + 1 − s + 1 ( s + 1 ) 2 </

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Chapter 3.5, Problem 17E

To determine

To find: The first and second derivative of the function f(s)=s−1s+1.

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Chapter 3.5, Problem 16E

Chapter 3.5, Problem 18E

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Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences

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The first and second derivative of the function f ( s ) = s − 1 s + 1 .

Solution Summary: The author explains the first and second derivatives of the function f(s)=s+1 and the formula to calculate the differential of a function by Quotient Rule.

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To find: The first and second derivative of the function f(s)=s−1s+1.

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Chapter 3 Solutions