To determine To calculate: the value of d y d x if y = 4 2 x 2 + 3 Explanation Given: The expression y = 4 2 x 2 + 3 Calculation: Write 2 x 2 + 3 as ( 2 x 2 + 3 ) 1 2 . Let u = 2 x 2 + 3 ; then, u ′ = 4 x So, d y d u = u 1 2 Use the following generalized chain rule: d y d x = 4 ⋅ ( 1 2 ⋅ ( 2 x 2 + 3 ) 1 2 − 1

Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

12th Edition

ISBN: 9780134767628

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Chapter 11.7, Problem 34E

To determine

To calculate: the value of dydx if y=42x2+3

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Chapter 11.7, Problem 33E

Chapter 11.7, Problem 35E

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Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

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