Explanation Given information: The given function is f ( x ) = 2.2 x 2 + 1.3 x + 4 . Formula used: The approximate change in function f ( x ) is, Δ [ f ( x ) ] = f ′ ( x ) Δ x (1) Calculation: The value of Δ x in function f ( x ) changes from a = 1 to b = 1.03 . Δ x = b − a = 1.03 − 1 = 0.03 The function is f ( x ) = 2.2 x 2 + 1.3 x + 4 . Differentiate above function with respect to x and get the value of f ′ ( x ) . d d x [ f ( x ) ] = d d x ( 2.2 x 2 + 1.3 x + 4 ) f ′ ( x ) = ( 1 2 ( 2.2 x 2 + 1.3 x + 4 ) − 1 2 ) × ( 2.2 × 2 x + 1.3 + 0 ) ( ∵ d [ g ( x ) ] n d x = n [ g ( x ) ] n − 1 g ′ ( x ) ) = ( 1 2 2

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 3.7, Problem 3TE

To determine

To find: The approximate value of the given function.

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Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

Ch. 3.1 - State the following rules of differentiation in...Ch. 3.1 - Prob. 2CQ Ch. 3.1 - Prob. 3CQ Ch. 3.1 - Prob. 4CQ Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E

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Volume of a Cylinder The volume of a...Ch. 3.6 - Prob. 40E Ch. 3.6 - Prob. 41E Ch. 3.6 - Prob. 42E Ch. 3.6 - Prob. 43E Ch. 3.6 - Prob. 44E Ch. 3.6 - Prob. 45E Ch. 3.6 - Prob. 46E Ch. 3.6 - Prob. 47E Ch. 3.6 - PRODUCTION FUNCTION FOR A FURNITURE COMPANY The...Ch. 3.6 - Prob. 49E Ch. 3.6 - Prob. 50E Ch. 3.6 - Prob. 51E Ch. 3.6 - Prob. 52E Ch. 3.6 - Prob. 53E Ch. 3.6 - Prob. 54E Ch. 3.6 - Prob. 55E Ch. 3.6 - Prob. 56E Ch. 3.6 - Prob. 57E Ch. 3.6 - Prob. 58E Ch. 3.6 - Prob. 59E Ch. 3.6 - Prob. 60E Ch. 3.6 - Prob. 61E Ch. 3.6 - Prob. 62E Ch. 3.6 - Prob. 63E Ch. 3.6 - Prob. 64E Ch. 3.6 - Prob. 65E Ch. 3.6 - 66. 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The approximate value of the given function.

Solution Summary: The author calculates the approximate value of the function f(x) = sqrt2.

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Chapter 3 Solutions