Problem

The number of tree species $ S $ in a given area …

01:28

Problem 51 Medium Difficulty

Biologists have proposed a cubic polynomial to model the length $ L $ of Alaskan rockfish at age $ A: $
$ L = 0.0155A^3 - 0.372A^2 + 3.95A + 1.21 $
where $ L $ is measured in inches and $ A $ in years. Calculate
$ \frac{dL}{dA}\mid A=12 $

Answer

$$\left.\frac{d L}{d A}\right|_{A=12}=0.0465(12)^{2}-0.744(12)+3.95=1.718$$

More Answers

00:57

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

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Video Transcript

he is. Claire's the one you're in here. So we have a s the variable, and we have a deal over t A. Since Alice people to hell of a D over D A. And we have our equation would just 0.155 You're cute. Minus 0.372 C square plus 3.95 a less 1.21 Is this equal? 2.4658 square minus 0.744 a plus 3.95 We're gonna plug in a is equal to 12 and we get 1.7 on the interest per year. And the derivative is interpreted as our instantaneous rate of growth off the fish. Uh, aged well.

Clarissa N.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Top Calculus 1 / AB Educators

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Michael J.

Idaho State University