APFIVE Instantaneous Rate of Population Growth
Which of the following is an example of finding the instantaneous rate of change of a growing population? Given the population model $$P(t)=100\cdot e^{0.05*t}$$ (with t in years), what is the rate of change at t = 0, i.e., compute $$\frac{dP}{dt}\big|_{t=0}$$?
A
$$5 \; individuals/year$$
B
$$0.05 \; individuals/year$$
C
$$100 \; individuals/year$$
D
$$105 \; individuals/year$$
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