(a) Explanation Given : The function is h ( x ) = f ( g ( x ) ) and g ( 1 ) = 2 , f ′ ( 2 ) = 5 and g ′ ( 1 ) = 6 . Calculation: Differentiate the function h ( x ) = f ( g ( x ) ) using chain rule as follows: h ′ ( x ) = f ′ ( g ( x ) ) g ′ ( x ) (b) To determine The value of the expression H ′ ( 1 ) .

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Question

Chapter 3.5, Problem 47E

(a)

To determine

The value of the expression h′(1) .

(b)

To determine

The value of the expression H′(1) .

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Chapter 3.5, Problem 46E

Chapter 3.5, Problem 48E

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The value of the expression h ′ ( 1 ) .

Solution Summary: The author compares the value of the expression hprime, which is 30.