Explanation Given: Consider a linear function y − f ( x ) = m x .the derivative or rate of change of f ( x ) is f ' ( x ) = m . Description: Recall the rate of change of a function is the change of the function per 1-unitt change of the variable. When x increases from a to b where a ≺ b , f ( x ) changes from f ( a ) to f ( b ) at the constant rate of m y- units per x- units, so the net change of f ( x ) is, f ( b ) − f ( a ) = ( c h a n g e o f f ( x ) ) y − u n i t s / x − u n i t )

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 6, Problem 16PE

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To find: The net change of a function f whose derivates is f' .

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Chapter 6, Problem 15PE

Chapter 6, Problem 17PE

Chapter 6 Solutions

Calculus

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The net change of a function f whose derivates is f ' .

Solution Summary: The author explains that the net change of a function f whose derivates is f'.

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To find: The net change of a function f whose derivates is f' .

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Chapter 6 Solutions