Explanation Given information: f ( 2 ) = − 4 , f ′ ( 2 ) = − 3 , Calculation: We need to approximate f ( 1.95 ) . If y = f ( x ) and Δ x is near 0, then Δ y ≃ f ′ ( x ) Δ x . For x near a we have Δ y = f ( x ) − f ( a ) and Δ x = x − a , so

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 2.3, Problem 34P

To determine

Use the tangent line approximation to approximate f(1.95).

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Chapter 2.3, Problem 33P

Chapter 2.3, Problem 35P

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Use the tangent line approximation to approximate f ( 1.95 ) .

Solution Summary: The author explains how to approximate f(1.95) using the tangent line approximation.

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Chapter 2 Solutions