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Chain Rule with a Population Model

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In a biological study, the population of a species is modeled by P(t)=(1+0.5∗t)4P(t)= (1+0.5*t)^4, where tt is time in years. Using the chain rule, find the expression for the rate of change of the population, P′(t)P'(t).

A

0.5∗(1+0.5∗t)30.5*(1+0.5*t)^3

B

2∗(1+0.5∗t)32*(1+0.5*t)^3

C

4∗(1+0.5∗t)34*(1+0.5*t)^3

D

2∗(1+0.5∗t)42*(1+0.5*t)^4

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