Explanation Given: The length L of rock bass at age A is given by, L = 0.0155 A 3 − 0.372 A 2 + 3.95 A + 1.21 , where L is measured in inches and A in years. Concept Used: Power rule of derivatives: d d x ( x n ) = n x n − 1 Derivative of any constant C is zero, that is, d d x ( C ) = 0 Calculation: Consider the length L of rock bass at age A is modeled by the function, L = 0.0155 A 3 − 0.372 A 2 + 3.95 A + 1.21 where L is measured in inches and A in years. In order to find the derivatives of the function use thepower rule of derivatives and simplify further. On differentiating the given function with respect to A , it gives d L d A = d d A ( 0.0155 A 3 − 0.372 A 2 + 3.95 A + 1.21 ) = d d A ( 0.0155 A 3 ) − d d A ( 0.372 A 2 ) + d d A ( 3

15th Edition

ISBN: 9781305177291

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Differential Equations

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Chapter 3.3, Problem 47E

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The value of derivative dLdA|A=12 and interpret the answer.

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Chapter 3.3, Problem 46E

Chapter 3.3, Problem 48E

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Chapter 3 Solutions

Biocalculus: Calculus For Life Sciences

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The value of derivative d L d A | A = 12 and interpret the answer.

Solution Summary: The author analyzes how the length of a 12-year-old rock bass grows at 1.718 inches/year, using the power rule of derivatives.

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The value of derivative dLdA|A=12 and interpret the answer.

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Chapter 3 Solutions