   Chapter 9.4, Problem 58E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Allometric relationships—crabs Data for fiddler crabs analyzed by Thompson in On Growth and Form show that the allometric relationship between the weight C of the claw and the weight W of the body is given by C = 0.11   W 1.54 Find the function that gives the rate of change of claw weight with respect to body weight.

To determine

To calculate: The rate of change of claw weight with respect to body weight if the relation of claw weight C and the body weight W is provided as C=0.11W1.54.

Explanation

Given Information:

The relation of claw weight C and the body weight W is provided as C=0.11W1.54.

Formula Used:

According to power rule,

If f(x)=xn, then f(x)=nxn1.

Coefficient rule for a constant c is such that, if f(x)=cu(x), where u(x) is a differentiable function of x, then f(x)=cu(x).

Calculation:

It is provided that the relation of claw weight C and the body weight W is C=0.11W1.54

To calculate the rate of change of claw weight with respect to body weight differentiate the function C=0

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