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Math
Mathematical Applications for the Management, Life, and Social Sciences11th Edition

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Chapter 9.7, Problem 1CP
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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

Solutions

Chapter
Section
Problem 1CP
Problem 2CP
Problem 3CP
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

If a function has the form y = [ u ( x ) ] n , where n is a constant, we begin to find the derivative by using the_____ Rule and then use the_____ Rule to find the derivative of [ u ( x ) ] n .

To determine

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

Explanation

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

Consider the provided function,

y=[u(x)]n⋅v(x)

Differentiate both sides with respect to x,

dydx=ddx([u(x)]n⋅v(x))

According to the product rule, a function, y=f⋅g is differentiated as,

dydx=g⋅ddx(f)+f⋅ddx(g)

Thus, to solve the derivative

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Chapter 9.6,
Problem 56E
Chapter 9.7,
Problem 2CP
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