Explanation Given information: f ( 4 ) = 5 , f ′ ( 4 ) = 7 , Calculation: We need to approximate f ( 3.92 ) . 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

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Chapter 2.3, Problem 32P

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Use the tangent line approximation to approximate f(3.92).

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Chapter 2.3, Problem 31P

Chapter 2.3, Problem 33P

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Applied Calculus, 6e WileyPLUS + Loose-leaf

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Use the tangent line approximation to approximate f ( 3.92 ) .

Solution Summary: The author explains how to approximate f(3.92) using the tangent line approximation.

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Chapter 2 Solutions