Explanation Given information: Consider f ( x ) = x 3 and the difference coefficient f ( a + h ) − f ( a ) h Calculation: Consider f ( x ) = x 3 Then, ⇒ f ( a ) = x 3 ⇒ f ( a + h ) = ( a + h ) 3 ⇒ f ( a + h ) − f ( a ) h = ( a + h ) 3 − a 3 h

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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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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Question

Chapter 1.1, Problem 30E

To determine

To Evaluate: the difference quotient for the given function.

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Chapter 1.1, Problem 29E

Chapter 1.1, Problem 31E

Chapter 1 Solutions

Biocalculus

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the difference quotient for the given function.

Solution Summary: The author evaluates the difference quotient for the given function =h2+3a(a+h).

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To Evaluate: the difference quotient for the given function.

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Chapter 1 Solutions