Explanation Given information: A statement, The relative rate of change of a quotient f g is the difference of relative rate of change so individual functions f and g . Formula used: Relative rate of change of a function h ( x ) , Relative rate of change = h ′ ( x ) h ( x ) Calculation: Consider the product of the functions f g . Use the formula to calculate the relative rate of change, Relative rate of change = h ′ ( x ) h ( x ) . Thus, Relative rate of change of f g = d d x ( f g ) f ⋅ g = f ′ ⋅ g − g

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 3.4, Problem 49P

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To prove:

The relative rate of change of a quotient fg is the difference of relative rate of change so individual functions f and g.

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Chapter 3.4, Problem 48P

Chapter 3.4, Problem 50P

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Chapter 3 Solutions

APPLIED CALCULUS (WILEY PLUS)

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To prove: The relative rate of change of a quotient f g is the difference of relative rate of change so individual functions f and g .

Solution Summary: The author explains how the relative rate of change of a quotient fg is the difference of relative rates so individual functions.

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To prove:

The relative rate of change of a quotient fg is the difference of relative rate of change so individual functions f and g.

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Chapter 3 Solutions

To prove: The relative rate of change of a quotient f g is the difference of relative rate of change so individual functions f and g .

Solution Summary: The author explains how the relative rate of change of a quotient fg is the difference of relative rates so individual functions.

Concept explainers

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To prove: The relative rate of change of a quotient fg is the difference of relative rate of change so individual functions f and g.

Want to see the full answer?

Chapter 3 Solutions

To prove:

The relative rate of change of a quotient fg is the difference of relative rate of change so individual functions f and g.