# The derivative of the wave speed with respect to the reproductive rate r and interpret the result. ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 3.8, Problem 34E
To determine

## To find: The derivative of the wave speed with respect to the reproductive rate r and interpret the result.

Expert Solution

The derivative of the wave speed with respect to the reproductive rate r is, f'(r)=Dr, which represents the rate of change of the wave speed according to the reproductive rate.

### Explanation of Solution

The wave speed is given by f(r)=2Dr.

Find the derivative of the wave speed with respect to the reproductive rate r as follows,

f(r)=2(Dr)12=122(Dr)121D=D(D)12(r)12=Dr

Thus, the derivative, f'(r)=Dr, which represents the rate of change of the wave speed according to the reproductive rate.

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