Explanation Given: Function P ( t ) = t 3 + 4 t + 1 Formula Used: Formulas of derivatives are as follows: d d x ( c ) = 0 , where c is a constant. d d x ( x n ) = n x n − 1 d d x { c . f ( x ) } = c . d d x f ( x ) Calculation: Function is given as, P ( t ) = t 3 + 4 t + 1 Derivative of the above function is calculated as: d d t P ( t ) = d d t ( t 3 + 4 t + 1 ) d d t P ( t ) = d d t

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Exponential Growth Model

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Question

Chapter 3.1, Problem 42P

To determine

To find rate of change of population for the below size at time t=2 :

P(t)=t3+4t+1.

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Chapter 3.1, Problem 41P

Chapter 3.1, Problem 43P

Chapter 3 Solutions

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Learn Algebra 6 : Rate of Change; Author: Derek Banas;https://www.youtube.com/watch?v=Dw701mKcJ1k;License: Standard YouTube License, CC-BY

To find rate of change of population for the below size at time t = 2 : P ( t ) = t 3 + 4 t + 1.

Solution Summary: The author explains that the rate of change of population at time t=2 is 16. The function is given as P(t)=t3+4t+1.

Concept explainers

Videos

To find rate of change of population for the below size at time t=2 :

P(t)=t3+4t+1.

Want to see the full answer?

Chapter 3 Solutions

To find rate of change of population for the below size at time t = 2 : P ( t ) = t 3 + 4 t + 1.

Solution Summary: The author explains that the rate of change of population at time t=2 is 16. The function is given as P(t)=t3+4t+1.

Concept explainers

Videos

To find rate of change of population for the below size at time t=2 : P(t)=t3+4t+1.

Want to see the full answer?

Chapter 3 Solutions

To find rate of change of population for the below size at time t=2 :

P(t)=t3+4t+1.