Explanation Given information : g ( x ) = f [ f ( x ) ] Formula used : g ′ ( x ) = d d x f [ f ( x ) ] ⇒ g ′ ( x ) = f ′ [ f ( x ) ] ⋅ f ′ ( x ) Calculation : At x = 2 , the value of g ′ ( 2 ) = f ′ [ f ( 2 ) ] ⋅ f ′ ( 2 ) From table, f ( 2 ) = 4 g ′ ( 2 ) = f ′ ( 4 ) ⋅ f ′ ( 2

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 3.5, Problem 44PS

To determine

To calculate : g′(2)

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Chapter 3.5, Problem 43PS

Chapter 3.5, Problem 45PS

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Chapter 3 Solutions

Calculus

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g ′ ( 2 )

Solution Summary: The author calculates the value of gprime (2)=-19.38.

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To calculate : g′(2)

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Chapter 3 Solutions