Explanation Given information: y = f ( x ) , f ′ ( 100 ) = 0.4 , X increases from 100 to 101. Calculation: We know that Δ y ≈ d y d x Δ x . We have y = f ( x ) So, d y d x = f ′ ( x )

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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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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Chapter 2.1, Problem 31P

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Estimate the change in y for the given change in x.

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Chapter 2.1, Problem 30P

Chapter 2.1, Problem 32P

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