Explanation Given information: The given function is f ( x ) = 1.7 x 4.2 − 3.2 x 1.3 + 4.2 x − 3.2 . The value of x is 2.2 . Definition used: The first derivative of the function is the differentiation of the function, f ′ ( x ) = d d x f ( x ) (1) The second derivative of the function is the differentiation of the first derivative of the function, f ″ ( x ) = d d x f ′ ( x ) (2) Formula used: The power rule is, d d x a x n = a ⋅ n ⋅ x n − 1 Calculation: Substitute 1.7 x 4.2 − 3.2 x 1.3 + 4.2 x − 3.2 for f ( x ) in equation (1) to find the first derivative of the function, f ′ ( x ) = d d x [ 1.7 x 4.2 − 3.2 x 1.3 + 4.2 x − 3.2 ] = d d x ( 1.7 x 4.2 ) − d d x ( 3.2 x 1.3 ) + d d x ( 4.2 x ) − d d x ( 3.2 ) = ( 4.2 ) ( 1.7 ) x 3.2 − ( 1.3 ) ( 3.2 ) x 0.3 + 4.2 − 0 ( Use power rule ) = 7

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Chapter 3.5, Problem 4TE

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The value of second derivative of the function at given value of x.

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Chapter 3.5, Problem 3TE

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Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences

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The value of second derivative of the function at given value of x .

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