Explanation Given information: The function is f ( x ) = 0.21 x 7 − 3.22 x 4 + 5.43 x 2 + 1.42 x + 12.42 . Formula used: The approximate change in function f ( x ) is given as Δ [ f ( x ) ] = f ′ ( x ) Δ x . Calculation: The function is f ( x ) = 0.21 x 7 − 3.22 x 4 + 5.43 x 2 + 1.42 x + 12.42 . Differentiate above function with respect to x and get the value of f ′ ( x ) . d d x [ f ( x ) ] = d d x ( 0.21 x 7 − 3.22 x 4 + 5.43 x 2 + 1.42 x + 12.42 ) f ′ ( x ) = 0.21 × 7 x 6 − 3.22 × 4 x 3 + 5.43 × 2 x + 1.42 = ( 1.47 x 6 − 12.88 x 3 + 10.86 x + 1.42 ) Substitute ( 1.47 x 6 − 12.88 x 3 + 10.86 x + 1.42 ) for f ′ ( x ) in the given formula

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Chapter 3.7, Problem 1TE

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

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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The approximate value of the given function.

Solution Summary: The author explains the approximate value of the given function f(x) =0.21x 734+5.43

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Chapter 3 Solutions