Explanation Given information: The equation is, F ( x ) = g ( f ( x ) ) (1) with the values f ( 2 ) = 3 , f ′ ( 2 ) = − 3 , g ( 3 ) = 5 and g ′ ( 3 ) = 4 . Formula used: The formula to calculate the differential of a function h ( x ) = g [ f ( x ) ] by Chain Rule is, h ′ ( x ) = d d x g [ f ( x ) ] = g ′ [ f ( x ) ] f ′ ( x ) Calculation: Differentiate equation (1) with respect to x by chain rule on both sides to calculate the value of F ′ ( x ) . F ′ ( x ) = d d x ( g ( f ( x ) ) ) = g ′ ( f ( x ) ) ⋅ d d x ( f (

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Chapter 3.3, Problem 57E

To determine

To find: The value of F′(2) .

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Chapter 3.3, Problem 56E

Chapter 3.3, Problem 58E

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Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences

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The value of F ′ ( 2 ) .

Solution Summary: The author explains the formula to calculate the differential of a function h(x)=d

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Chapter 3 Solutions