Explanation Consider the incomplete statement, ‘if a function has the form y = [ u ( x ) v ( x ) ] n , where n is a constant, we begin to find the derivative by using the ___ Rule and then use the ___ Rule.’ Consider the provided function, y = [ u ( x ) v ( x ) ] n Differentiate both sides with respect to x , d y d x = d d x ( [ u ( x ) v ( x ) ] n ) According to the power rule, for a function, y = x n , d y d x = n x n − 1 Thus, to solve the derivative of y , first the power rule will be applied, d y d x =<

11th Edition

ISBN: 9781305713864

Author: HARSHBARGER

Publisher: CENGAGE L

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Chapter 9.7, Problem 2CP

To determine

To fill: The incomplete statement, ‘if a function has the form y=[u(x)v(x)]n, where n is a constant, we begin to find the derivative by using the _ Rule and then use the _ Rule.’

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The incomplete statement, ‘if a function has the form y = [ u ( x ) v ( x ) ] n , where n is a constant, we begin to find the derivative by using the _ Rule and then use the _ Rule.’

Solution Summary: The author explains how to solve the derivative of y by using the power rule and the quotient rule.

Concept explainers

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To fill: The incomplete statement, ‘if a function has the form y=[u(x)v(x)]n, where n is a constant, we begin to find the derivative by using the _ Rule and then use the _ Rule.’

Chapter 9 Solutions

The incomplete statement, ‘if a function has the form y = [ u ( x ) v ( x ) ] n , where n is a constant, we begin to find the derivative by using the ___ Rule and then use the ___ Rule.’

Solution Summary: The author explains how to solve the derivative of y by using the power rule and the quotient rule.

Concept explainers

Videos

To fill: The incomplete statement, ‘if a function has the form y=[u(x)v(x)]n, where n is a constant, we begin to find the derivative by using the ___ Rule and then use the ___ Rule.’

Chapter 9 Solutions

The incomplete statement, ‘if a function has the form y = [ u ( x ) v ( x ) ] n , where n is a constant, we begin to find the derivative by using the _ Rule and then use the _ Rule.’

To fill: The incomplete statement, ‘if a function has the form y=[u(x)v(x)]n, where n is a constant, we begin to find the derivative by using the _ Rule and then use the _ Rule.’