Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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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Consider the function f (x) = 2x² – 3x + 5. Construct the formula for the average rate of change function r = ARC, (x) and use algebra to sımplify your answer as much as possible. df Use the simplified formula from Part (a) to determine the formula for You must employ dx the definition of the derivative as a limit of average rate of change functions.
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Transcribed Image Text:Consider the function f (x) = 2x² – 3x + 5. Construct the formula for the average rate of change function r = ARC, (x) and use algebra to sımplify your answer as much as possible. df Use the simplified formula from Part (a) to determine the formula for You must employ dx the definition of the derivative as a limit of average rate of change functions.
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